This page has only limited features, please log in for full access.
The aim of this paper is to analyse the potential impact of multiple current interventions in communities with limited resources in order to obtain optimal control strategies and provide a basis for future predictions of the most effective control measures against the spread of malaria. We developed a population-based model of malaria transmission dynamics to investigate the effectiveness of five different interventions. The model captured both the human and the mosquito compartments. The control interventions considered were: educational campaigns to mobilise people for diagnostic test and treatment and to sleep under bed nets; treatment through mass drug administration; indoor residual spraying(IRS) with insecticide to reduce malaria transmission; insecticide treated net (ITN) to reduce morbidity; and regular destruction of mosquito breeding sites to reduce the number of new mosquito and bites/contact at dusks and dawn. Analysis of the potential impact of the multiple control interventions were carried out and the optimal control strategies that minimized the number of infected human and mosquito and the cost of applying the various control interventions were determined.
E.A. Bakare; B.O. Onasanya; S. Hoskova-Mayerova; O. Olubosede. Analysis of Control Interventions against Malaria in communities with Limited Resources. Analele Universitatii "Ovidius" Constanta - Seria Matematica 2021, 29, 71 -91.
AMA StyleE.A. Bakare, B.O. Onasanya, S. Hoskova-Mayerova, O. Olubosede. Analysis of Control Interventions against Malaria in communities with Limited Resources. Analele Universitatii "Ovidius" Constanta - Seria Matematica. 2021; 29 (2):71-91.
Chicago/Turabian StyleE.A. Bakare; B.O. Onasanya; S. Hoskova-Mayerova; O. Olubosede. 2021. "Analysis of Control Interventions against Malaria in communities with Limited Resources." Analele Universitatii "Ovidius" Constanta - Seria Matematica 29, no. 2: 71-91.
The continuous improvement of military leadership identity to maintain excellent performance with respect to the promotion of mission success is a highly desired by the Lithuanian Armed Forces. This study seeks to identify the criteria for effective leadership behavior that is appreciated by Lithuanian servicemen. The validated Leader Behavior Description Questionnaire (LBDQ XII) was used to collect data representing followers’ preferences with respect to commander–leader behavior by assessing twelve leadership behavior criteria. Additionally, commander–leaders were chosen as experts to judge the importance of the criteria by pair-wise assessment. Consequently, the Fuzzy Decision Making (FDM) with Fuzzy Decision Making Trial and Evaluation Laboratory (DEMATEL) method based on the new concept of the relationship between the influenced and influencing criteria were employed to analyze the ranking using leadership behavior and to establish the causal relationships among the criteria when the collected data were expressed in trapezoidal fuzzy numbers. This study contributes to military leadership by using a novel approach for identifying and prioritizing the behavior criteria for leaders. The results indicate six “cause” constructs: ability to persuade, taking the lead, result orientation, accurate forecasting, building interpersonal relationships, and cooperation with managers. These findings could assist militaries in designing effective improvement strategies for continuous leadership training.
Svajone Bekesiene; Ieva Meidute-Kavaliauskiene; Šárka Hošková-Mayerová. Military Leader Behavior Formation for Sustainable Country Security. Sustainability 2021, 13, 4521 .
AMA StyleSvajone Bekesiene, Ieva Meidute-Kavaliauskiene, Šárka Hošková-Mayerová. Military Leader Behavior Formation for Sustainable Country Security. Sustainability. 2021; 13 (8):4521.
Chicago/Turabian StyleSvajone Bekesiene; Ieva Meidute-Kavaliauskiene; Šárka Hošková-Mayerová. 2021. "Military Leader Behavior Formation for Sustainable Country Security." Sustainability 13, no. 8: 4521.
Many mathematical models have explored the dynamics of cholera but none have been used to predict the optimal strategies of the three control interventions (the use of hygiene promotion and social mobilization; the use of treatment by drug/oral re-hydration solution; and the use of safe water, hygiene, and sanitation). The goal here is to develop (deterministic and stochastic) mathematical models of cholera transmission and control dynamics, with the aim of investigating the effect of the three control interventions against cholera transmission in order to find optimal control strategies. The reproduction number
Emmanuel Bakare; Sarka Hoskova-Mayerova. Optimal Control Analysis of Cholera Dynamics in the Presence of Asymptotic Transmission. Axioms 2021, 10, 60 .
AMA StyleEmmanuel Bakare, Sarka Hoskova-Mayerova. Optimal Control Analysis of Cholera Dynamics in the Presence of Asymptotic Transmission. Axioms. 2021; 10 (2):60.
Chicago/Turabian StyleEmmanuel Bakare; Sarka Hoskova-Mayerova. 2021. "Optimal Control Analysis of Cholera Dynamics in the Presence of Asymptotic Transmission." Axioms 10, no. 2: 60.
Recently, fuzzy multisets have come to the forefront of scientists’ interest and have been used for algebraic structures such as groups, rings, and near rings. In this paper, we first summarize the knowledge about algebraic structure of fuzzy multisets such as fuzzy multi-subnear rings and fuzzy multi-ideals of near rings. Then we recall the results from our related previous work, where we defined different operations on fuzzy multi-ideals of near rings and we generalized some known results for fuzzy ideals of near rings to fuzzy multi-ideals of near rings. Finally, we define anti-fuzzy multi-subnear rings (multi-ideals) of near rings and study their properties.
Sarka Hoskova-Mayerova; Madeline Al Tahan. Anti-Fuzzy Multi-Ideals of Near Ring. Mathematics 2021, 9, 494 .
AMA StyleSarka Hoskova-Mayerova, Madeline Al Tahan. Anti-Fuzzy Multi-Ideals of Near Ring. Mathematics. 2021; 9 (5):494.
Chicago/Turabian StyleSarka Hoskova-Mayerova; Madeline Al Tahan. 2021. "Anti-Fuzzy Multi-Ideals of Near Ring." Mathematics 9, no. 5: 494.
This survey is focussed on distance learning studies, where there can be met a lot of technical obstacles, which creates complications in decision making. To get an ideal solution for these kinds of problems, the Fuzzy TOPSIS (Technique for Order Preference by Similarities to Ideal Solution) is one of the best solutions. Therefore, this paper presents the distance learning quality assessment surveys when the Fuzzy AHP (Analytic Hierarchy Process) and TOPSIS methods are used. Research results describe the application of the Fuzzy AHP—TOPSIS hybrid method. MCDM (Multi-Criteria Decision Making) programs with MATLAB (R2020b) mathematical package were written to calculate the evaluation results for three distance learning courses. In the practical implementation of the proposed distance learning module evaluation methodology, the experts’ evaluation method was applied. Thirty-four judges were chosen with specific knowledge and skills and with very different competencies to assess three alternatives by fourteen criteria. Following the experts’ evaluation, a statistical analysis method was used to process the data. After applying the complex evaluation, the comparative analysis method was used to summarize the obtained results. This work further provides useful guidelines for the development of an easily understandable hierarchy of criteria model that reflects the main goal of study quality assessment.
Svajone Bekesiene; Aidas Vasiliauskas; Šárka Hošková-Mayerová; Virgilija Vasilienė-Vasiliauskienė. Comprehensive Assessment of Distance Learning Modules by Fuzzy AHP-TOPSIS Method. Mathematics 2021, 9, 409 .
AMA StyleSvajone Bekesiene, Aidas Vasiliauskas, Šárka Hošková-Mayerová, Virgilija Vasilienė-Vasiliauskienė. Comprehensive Assessment of Distance Learning Modules by Fuzzy AHP-TOPSIS Method. Mathematics. 2021; 9 (4):409.
Chicago/Turabian StyleSvajone Bekesiene; Aidas Vasiliauskas; Šárka Hošková-Mayerová; Virgilija Vasilienė-Vasiliauskienė. 2021. "Comprehensive Assessment of Distance Learning Modules by Fuzzy AHP-TOPSIS Method." Mathematics 9, no. 4: 409.
Malaria is preventable and curable but critical disease caused by parasites that are transmitted to people through the bites of female Anopheles mosquitoes. There were an estimated 228 million cases of malaria globally and its mortality remained at 405,000 in 2018. There are many models that have been developed but the aim of this paper is to analyse the potential impact of multiple current interventions in communities with limited resources. The authors in their previous work, developed a population-based model of malaria transmission dynamics to investigate the effectiveness of five different interventions. This model captured both the human and the mosquito compartments and considered 5 control interventions. Namely it was: educational campaigns to mobilise people for diagnostic test and treatment and to sleep under bed nets; treatment through mass drug administration; indoor residual spraying with insecticide to reduce malaria transmission; insecticide treated net to reduce morbidity; and regular destruction of mosquito breeding sites to reduce the number of new mosquito and bites/contact at dusks and dawn. In the present work we carried out basic mathematical analysis of the model, simulate the different scenarios developed and optimise the control interventions with optimal control. The potential of the control interventions to reduce transmission within 120 days was observed. The numerical experiments showed that the optimal strategy to effectively control malaria was through the combinations of controls in the models. The developed malaria model predicted the reduction, control and/or elimination of malaria threats through incorporating multiple control interventions. Therefore, multiple control measures should be adopted for malaria but in areas of limited resources, we can make use of strategy E and others in places where there are more resources.
E. A. Bakare; S. Hoskova-Mayerova. Numerical treatment of optimal control theory applied to malaria transmission dynamic model. Quality & Quantity 2021, 1 -23.
AMA StyleE. A. Bakare, S. Hoskova-Mayerova. Numerical treatment of optimal control theory applied to malaria transmission dynamic model. Quality & Quantity. 2021; ():1-23.
Chicago/Turabian StyleE. A. Bakare; S. Hoskova-Mayerova. 2021. "Numerical treatment of optimal control theory applied to malaria transmission dynamic model." Quality & Quantity , no. : 1-23.
The population is nowadays increasingly threatened by events that have an immediate impact on their health and lives. One of the most endangered targets are the so-called soft targets. These are such targets that are characterized by a high population concentration, and low or even no level of security against violent or even terrorist attacks. The research carried out by the authors clearly showed that one of the important and easily vulnerable soft targets are schools. This article focuses on the safety of schools and their facilities. The authors focused on finding out the safety of schools as soft targets in the Czech Republic. The security level of schools was measured at selected nursery, elementary, and secondary schools in the city of Brno. As well as technical elements, other factors contributing to the overall safety of schools were also verified. It was found that although a large number of schools have at least basic elements of security available, systemic and organizational measures are not sufficient for technical measures to be important.
Šárka Hošková-Mayerová; Svajone Bekesiene; Petra Beňová. Securing Schools against Terrorist Attacks. Safety 2021, 7, 13 .
AMA StyleŠárka Hošková-Mayerová, Svajone Bekesiene, Petra Beňová. Securing Schools against Terrorist Attacks. Safety. 2021; 7 (1):13.
Chicago/Turabian StyleŠárka Hošková-Mayerová; Svajone Bekesiene; Petra Beňová. 2021. "Securing Schools against Terrorist Attacks." Safety 7, no. 1: 13.
In this chapter, starting from some results obtained in the papers Flaut, C., Vasile, R., Wajsberg algebras arising from binary block codes, and Flaut, C., Hošková-Mayerová, Š., Saeid, A., B., Vasile, R., Wajsberg algebras of order \(n,n\le 9\), we provide some examples of finite bounded commutative BCK-algebras, using the Wajsberg algebra associated to a bounded commutative BCK-algebra. This method is an alternative to the Iseki’s construction, since by Iseki’s extension some properties of the obtained algebras are lost.
Cristina Flaut; Šárka Hošková-Mayerová; Radu Vasile. Some Remarks Regarding Finite Bounded Commutative BCK-Algebras. Soft Computing Applications for Group Decision-making and Consensus Modeling 2021, 131 -140.
AMA StyleCristina Flaut, Šárka Hošková-Mayerová, Radu Vasile. Some Remarks Regarding Finite Bounded Commutative BCK-Algebras. Soft Computing Applications for Group Decision-making and Consensus Modeling. 2021; ():131-140.
Chicago/Turabian StyleCristina Flaut; Šárka Hošková-Mayerová; Radu Vasile. 2021. "Some Remarks Regarding Finite Bounded Commutative BCK-Algebras." Soft Computing Applications for Group Decision-making and Consensus Modeling , no. : 131-140.
Experience gained from NATO operations shows that the basis for an effective solution to a crisis is a combination of a comprehensive political, civilian and military approach. The cooperation of all stakeholders is thus a basic prerequisite for the effective resolution of crisis situations. These aspects and stakeholders include emergency management. This paper deals with civil-military cooperation in times of emergency caused by the COVID-19 pandemic in the Czech Republic. It qualitatively evaluates the findings resulting from the questionnaire survey focused on the state of crisis preparedness of the Army of the Czech Republic and the functionality of emergency management in cooperation with rescue work with other teams of the rescue system. The questionnaire was carried out at military units in all regions of the Czech Republic; organizational units of the Ministry of Defence with nationwide competence, which were directly involved in securing measures related to the declaration of a state of emergency due to the COVID-19 pandemic in March—May, 2020; Operations Command, which currently manages operations in the Czech Republic designed to manage the consequences of a pandemic; and members of the Ministry of Defence participating in the activities of the Strategic Command and Control Group. A total of 21 stakeholders took part. The experience in managing the consequences of the COVID-19 pandemic have shown that armed forces around the world have an irreplaceable position in dealing with nonmilitary crises. The conclusions and recommendations obtained from the research survey are the content of this paper.
Irena Tušer; Sarka Hoskova-Mayerova. Emergency Management in Resolving an Emergency Situation. Journal of Risk and Financial Management 2020, 13, 262 .
AMA StyleIrena Tušer, Sarka Hoskova-Mayerova. Emergency Management in Resolving an Emergency Situation. Journal of Risk and Financial Management. 2020; 13 (11):262.
Chicago/Turabian StyleIrena Tušer; Sarka Hoskova-Mayerova. 2020. "Emergency Management in Resolving an Emergency Situation." Journal of Risk and Financial Management 13, no. 11: 262.
The main topic of the article is the use of multicriteria analysis in assessing the impact of the geographical environment on rescue and military activities. The evaluation is based on digital geographical data, and the influences of individual geographical factors are determined by spatial analyses. The essence of the article lies in the design of a methodical procedure for determining the weights of individual criteria and in the construction of a suitable resulting user function (utility value function) in a geographic information system environment with regard to the solved problem and in the verification of the proposed procedure. Using sensitivity analysis, the dominance of individual factors is determined, and the influence of the changes in the weights of the criteria on the overall results of the analysis is assessed. Detailed studies of the differences in the results of solving the same analytical problem with changed weights of individual criteria are performed, and these studies are documented on a model example. Based on verification tests performed both in office conditions and directly at selected locations, “optimized procedures” are recommended for assessing the potential of the geographical environment for the operation of rescue or military units in field conditions. Finally, the possibilities of further development of the model solution and its implementation into control systems are presented.
Šárka Hošková-Mayerová; Václav Talhofer; Pavel Otřísal; Marian Rybanský. Influence of Weights of Geographical Factors on the Results of Multicriteria Analysis in Solving Spatial Analyses. ISPRS International Journal of Geo-Information 2020, 9, 489 .
AMA StyleŠárka Hošková-Mayerová, Václav Talhofer, Pavel Otřísal, Marian Rybanský. Influence of Weights of Geographical Factors on the Results of Multicriteria Analysis in Solving Spatial Analyses. ISPRS International Journal of Geo-Information. 2020; 9 (8):489.
Chicago/Turabian StyleŠárka Hošková-Mayerová; Václav Talhofer; Pavel Otřísal; Marian Rybanský. 2020. "Influence of Weights of Geographical Factors on the Results of Multicriteria Analysis in Solving Spatial Analyses." ISPRS International Journal of Geo-Information 9, no. 8: 489.
Nowadays, tourism is a phenomenon and every state or continent is trying to offer the most attractive. Transport and related services are currently a key factor in the development and functioning of international tourism. Road transport is the most widespread transport worldwide. Development traffic studies report just under 1 billion motor vehicles in use worldwide today, 1.6 billion in 2020, and 2 billions by 2030. This article deals with the issue of traffic safety sustainability in road tunnels. It describes possible major emergencies that may occur in road tunnel traffic. Based on the analysis of statistical data from the Czech Republic, which deal with major emergencies in the past 13 years, causes of these emergencies, and findings from the screening exercises of the Integrated Rescue System units, measures are proposed to reduce the negative impacts of major emergencies and to improve crisis management, all with an emphasis on the safety of persons and property. The strategic goal is to reduce the number of casualties and the seriously injured in the Czech Republic to the average level of other EU countries. Based on the survey done in lessons to be learnt from training of Rescue System in the Czech Republic are presented.
Irena Tušer; Šárka Hošková-Mayerová. Traffic safety sustainability and population protection in road tunnels. Quality & Quantity 2020, 1 -22.
AMA StyleIrena Tušer, Šárka Hošková-Mayerová. Traffic safety sustainability and population protection in road tunnels. Quality & Quantity. 2020; ():1-22.
Chicago/Turabian StyleIrena Tušer; Šárka Hošková-Mayerová. 2020. "Traffic safety sustainability and population protection in road tunnels." Quality & Quantity , no. : 1-22.
In this paper, we introduce generalized quadratic forms and hyperconics over quotient hyperfields as a generalization of the notion of conics on fields. Conic curves utilized in cryptosystems; in fact the public key cryptosystem is based on the digital signature schemes (DLP) in conic curve groups. We associate some hyperoperations to hyperconics and investigate their properties. At the end, a collection of canonical hypergroups connected to hyperconics is proposed.
Vahid Vahedi; Morteza Jafarpour; Sarka Hoskova-Mayerova; Hossein Aghabozorgi; Violeta Leoreanu-Fotea; Svajone Bekesiene. Derived Hyperstructures from Hyperconics. Mathematics 2020, 8, 429 .
AMA StyleVahid Vahedi, Morteza Jafarpour, Sarka Hoskova-Mayerova, Hossein Aghabozorgi, Violeta Leoreanu-Fotea, Svajone Bekesiene. Derived Hyperstructures from Hyperconics. Mathematics. 2020; 8 (3):429.
Chicago/Turabian StyleVahid Vahedi; Morteza Jafarpour; Sarka Hoskova-Mayerova; Hossein Aghabozorgi; Violeta Leoreanu-Fotea; Svajone Bekesiene. 2020. "Derived Hyperstructures from Hyperconics." Mathematics 8, no. 3: 429.
In this paper, we introduce a geodesic metric space called generalized Cayley graph (gCay(P,S)) on a finitely generated polygroup. We define a hyperaction of polygroup on gCayley graph and give some properties of this hyperaction. We show that gCayley graphs of a polygroup by two different generators are quasi-isometric. Finally, we express a connection between finitely generated polygroups and geodesic metric spaces.
F. Arabpur; M. Jafarpour; M. Aminizadeh; S. Hoskova-Mayerova. On geometric polygroups. Analele Universitatii "Ovidius" Constanta - Seria Matematica 2020, 28, 17 -33.
AMA StyleF. Arabpur, M. Jafarpour, M. Aminizadeh, S. Hoskova-Mayerova. On geometric polygroups. Analele Universitatii "Ovidius" Constanta - Seria Matematica. 2020; 28 (1):17-33.
Chicago/Turabian StyleF. Arabpur; M. Jafarpour; M. Aminizadeh; S. Hoskova-Mayerova. 2020. "On geometric polygroups." Analele Universitatii "Ovidius" Constanta - Seria Matematica 28, no. 1: 17-33.
A fuzzy multiset is a generalization of a fuzzy set. This paper aims to combine the innovative notion of fuzzy multisets and hypergroups. In particular, we use fuzzy multisets to introduce the concept of fuzzy multi-hypergroups as a generalization of fuzzy hypergroups. Different operations on fuzzy multi-hypergroups are defined and discussed and some results known for fuzzy hypergroups are generalized to fuzzy multi-hypergroups.
Sarka Hoskova-Mayerova; Madeline Al Tahan; Bijan Davvaz. Fuzzy Multi-Hypergroups. Mathematics 2020, 8, 244 .
AMA StyleSarka Hoskova-Mayerova, Madeline Al Tahan, Bijan Davvaz. Fuzzy Multi-Hypergroups. Mathematics. 2020; 8 (2):244.
Chicago/Turabian StyleSarka Hoskova-Mayerova; Madeline Al Tahan; Bijan Davvaz. 2020. "Fuzzy Multi-Hypergroups." Mathematics 8, no. 2: 244.
Madeline Al Tahan; Sarka Hoskova-Mayerova; Bijan Davvaz. Fuzzy multi-polygroups. Journal of Intelligent & Fuzzy Systems 2020, 38, 2337 -2345.
AMA StyleMadeline Al Tahan, Sarka Hoskova-Mayerova, Bijan Davvaz. Fuzzy multi-polygroups. Journal of Intelligent & Fuzzy Systems. 2020; 38 (2):2337-2345.
Chicago/Turabian StyleMadeline Al Tahan; Sarka Hoskova-Mayerova; Bijan Davvaz. 2020. "Fuzzy multi-polygroups." Journal of Intelligent & Fuzzy Systems 38, no. 2: 2337-2345.
R. Ameri; M. Eyvazi; S. Hoskova-Mayerova. Advanced results in enumeration of hyperfields. AIMS Mathematics 2020, 5, 6552 -6579.
AMA StyleR. Ameri, M. Eyvazi, S. Hoskova-Mayerova. Advanced results in enumeration of hyperfields. AIMS Mathematics. 2020; 5 (6):6552-6579.
Chicago/Turabian StyleR. Ameri; M. Eyvazi; S. Hoskova-Mayerova. 2020. "Advanced results in enumeration of hyperfields." AIMS Mathematics 5, no. 6: 6552-6579.
This paper offers an analysis of the mission and role of municipalities in the Czech national crisis management system. The paper clarifies the nature of population protection within the national security system accentuating resource availability. The significance of local municipal budgets as the baseline to crisis solution support within the administered area is discussed. The problem is not the system of budgets or the budgeting system itself at the level of local government. The key issue, however, is the determination of budget resources, which are primarily predetermined ex ante for the crisis prevention resolution phase. Current legislation does not address this requirement. The authors also point out the fundamental influence of local policy in the allocation of resources in the municipal budget in relation to their political preferences. Therefore, the authors of the article propose the calculation method for the standard minimum amount of financial resources allocated to coping with crises in the municipal budget at their level, as appropriate. The submitted proposal will contribute to guaranteeing a minimum level of preparedness for crisis management in ensuring the safety of all residents.
Aleš Kudlák; Rudolf Urban; Šárka Hošková-Mayerová. Determination of the financial minimum in a municipal budget to deal with crisis situations. Soft Computing 2019, 24, 8607 -8616.
AMA StyleAleš Kudlák, Rudolf Urban, Šárka Hošková-Mayerová. Determination of the financial minimum in a municipal budget to deal with crisis situations. Soft Computing. 2019; 24 (12):8607-8616.
Chicago/Turabian StyleAleš Kudlák; Rudolf Urban; Šárka Hošková-Mayerová. 2019. "Determination of the financial minimum in a municipal budget to deal with crisis situations." Soft Computing 24, no. 12: 8607-8616.
In this chapter, starting from some results obtained in the papers [FV; 19], [FHSV; 19], we provide some examples of finite bounded commutative BCK- algebras, using the Wajsberg algebra associated to a bounded commutative BCK- algebra. This method is an alternative to the Iseki's construction, since by Iseki's extension some properties of the obtained algebras are lost.
Cristina Flaut; Sarka Hoskova-Mayerova; Radu Vasile. Some remarks regarding finite bounded commutative BCK-algebras. 2019, 1 .
AMA StyleCristina Flaut, Sarka Hoskova-Mayerova, Radu Vasile. Some remarks regarding finite bounded commutative BCK-algebras. . 2019; ():1.
Chicago/Turabian StyleCristina Flaut; Sarka Hoskova-Mayerova; Radu Vasile. 2019. "Some remarks regarding finite bounded commutative BCK-algebras." , no. : 1.
The concept of fuzzy multiset is well established in dealing with many real life problems. It is possible to find various applications of algebraic hypercompositional structures in natural, technical and social sciences, where symmetry, or the lack of symmetry, is clearly specified and laid out. In this paper, we use fuzzy multisets to introduce the concept of fuzzy multi- H v -ideals as a generalization of fuzzy H v -ideals. Moreover, we introduce the concept of generalized fuzzy multi- H v -ideals as a generalization of generalized fuzzy H v -ideals. Finally, we investigate the properties of these new concepts and present different examples.
Madeline Al Tahan; Sarka Hoskova-Mayerova; Bijan Davvaz. Some Results on (Generalized) Fuzzy Multi-Hv-Ideals of Hv-Rings. Symmetry 2019, 11, 1376 .
AMA StyleMadeline Al Tahan, Sarka Hoskova-Mayerova, Bijan Davvaz. Some Results on (Generalized) Fuzzy Multi-Hv-Ideals of Hv-Rings. Symmetry. 2019; 11 (11):1376.
Chicago/Turabian StyleMadeline Al Tahan; Sarka Hoskova-Mayerova; Bijan Davvaz. 2019. "Some Results on (Generalized) Fuzzy Multi-Hv-Ideals of Hv-Rings." Symmetry 11, no. 11: 1376.
A Krasner hyperring (for short, a hyperring) is a generalization of a ring such that the addition is multivalued and the multiplication is as usual single valued and satisfies the usual ring properties. One of the important subjects in the theory of hyperrings is the study of polynomials over a hyperring. Recently, polynomials over hyperrings have been studied by Davvaz and Musavi, and they proved that polynomials over a hyperring constitute an additive-multiplicative hyperring that is a hyperstructure in which both addition and multiplication are multivalued and multiplication is distributive with respect to the addition. In this paper, we first show that the polynomials over a hyperring is not an additive-multiplicative hyperring, since the multiplication is not distributive with respect to addition; then, we study hyperideals of polynomials, such as prime and maximal hyperideals and prove that every principal hyperideal generated by an irreducible polynomial is maximal and Hilbert’s basis theorem holds for polynomials over a hyperring.
Reza Ameri; Mansour Eyvazi; Sarka Hoskova-Mayerova. Superring of Polynomials over a Hyperring. Mathematics 2019, 7, 902 .
AMA StyleReza Ameri, Mansour Eyvazi, Sarka Hoskova-Mayerova. Superring of Polynomials over a Hyperring. Mathematics. 2019; 7 (10):902.
Chicago/Turabian StyleReza Ameri; Mansour Eyvazi; Sarka Hoskova-Mayerova. 2019. "Superring of Polynomials over a Hyperring." Mathematics 7, no. 10: 902.