Md Shamim Akhter

Dr. Md Shamim Akhter


Research Focus & Metrics

Academic Career Length

5Years (2022-Present)

(Calculated once Scilit publication data is synced: current year − year of first publication + 1)

Representative Publications

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17 May 2022 in Communications in Algebra
Verified
Journal Article
Closed access
MAMohammad Ashraf
Mohammad Ashraf
MAMd Shamim Akhter
Md Shamim Akhter
MAMohammad Afajal Ansari
Mohammad Afajal Ansari
Let A be a factor von Neumann algebra with dimA≥2. For any X1,X2,⋯,Xn∈A, define p1(X1)=X1, p2(X1,X2)=[X1,X2]•=X1X2∗−X2X1∗, and pn(X1,X2,⋯,Xn)=[pn−1(X1,X2,⋯,Xn−1),Xn]• for all integers n≥2. In this article, we prove that a map L:A→A satisfies L(pn(X1,X2,⋯,Xn))=∑i=1npn(X1,X2,⋯,Xi−1,L(Xi),Xi+1,⋯,Xn) for all X1,X2,⋯,Xn∈A if and only if L is an additive *-derivation.

1 January 2023 in Filomat
Verified
Journal Article
Open access
PDF file
MAMohammad Ashraf
Mohammad Ashraf
MAMd Shamim Akhter
Md Shamim Akhter
MAMOHAMMAD AFAJAL ANSARI
MOHAMMAD AFAJAL ANSARI
Let T be a factor von Neumann algebra acting on complex Hilbert space with dim(T) ? 2. For any T, T1, T2,..., Tn ? T, define q1(T) = T, q2(T1, T2) = T1 ? T2 = T1T+ 2 + T2T+ 1 and qn(T1,..., Tn) = qn?1(T1,..., Tn?1) ? Tn for all integers n ? 2. In this article, we prove that a map ? : T ? T satisfies ?(qn(T1,..., Tn)) = Pni =1 qn(T1,..., Ti?1, ?(Ti), Ti+1,..., Tn) for all T1,..., Tn ? T if and only if ? is an additive *-derivation.

4 December 2023 in Bulletin of the Malaysian Mathematical Sciences Society
Verified
Journal Article
Closed access
PDF file
MAMohammad Ashraf
Mohammad Ashraf
MAMd Shamim Akhter
Md Shamim Akhter
MAMOHAMMAD AFAJAL ANSARI
MOHAMMAD AFAJAL ANSARI

6 October 2023 in Journal of Algebra and Its Applications
Verified
Journal Article
Closed access
MAMohammad Ashraf
Mohammad Ashraf
MAMd Shamim Akhter
Md Shamim Akhter
MAMOHAMMAD AFAJAL ANSARI
MOHAMMAD AFAJAL ANSARI

26 October 2022 in Georgian Mathematical Journal
Verified
Journal Article
Closed access
MAMohammad Ashraf
Mohammad Ashraf
MAMOHAMMAD AFAJAL ANSARI
MOHAMMAD AFAJAL ANSARI
MAMd Shamim Akhter
Md Shamim Akhter
Let

20 March 2024 in Communications in Algebra
Verified
Journal Article
Closed access
MAMohammad Ashraf
Mohammad Ashraf
MAMd Shamim Akhter
Md Shamim Akhter
MAMOHAMMAD AFAJAL ANSARI
MOHAMMAD AFAJAL ANSARI