Prof. Dr. Nadeem ur Rehman

Mathematics, Aligarh Muslim University, Aligarh, India

Prof. Dr. Nadeem ur Rehman

Mathematics, Aligarh Muslim University, Aligarh, India

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Academic Career Length

26Years (2001-Present)

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

Representative Publications

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1 August 2002 in Results in Mathematics

Journal Article

On Commutativity of Rings With Derivations

MA

Mohammad Ashraf

NR

Nadeem ur Rehman

1 October 2003 in Acta Mathematica Hungarica

Journal Article

On Lie ideals with derivations as homomorphisms and anti-homomorphisms

AA

NR

Nadeem ur Rehman

SA

20 October 2022 in Communications in Algebra

Journal Article

A note on nonlinear mixed Jordan triple derivation on *-algebras

NR

Nadeem ur Rehman

JN

MN

Mohd Nazim

Let

A

be a unital *-algebra containing a non-trivial projection. In this paper, it is shown that a map Γ:

A

\to

A

such that

Γ (U ° V • W) = Γ (U) ° V • W + U ° Γ (V) • W + U ° V • Γ (W)

for all

U, V, W \in A

. Then Γ is an additive *-derivation.

1 December 2010 in Algebra Colloquium

Journal Article

On Generalized (α,β)-Derivations in Prime Rings

HM

Hidetoshi Marubayashi

MA

Mohammad Ashraf

NR

Nadeem ur Rehman

SA

2 January 2022 in AKCE International Journal of Graphs and Combinatorics

Journal Article

On the planarity, genus and crosscap of new extension of zero-divisor graph of commutative rings

NR

Nadeem ur Rehman

MN

Mohd Nazim

KS

K. Selvakumar

Let R be a commutative ring with Z(R) its set of all zero-divisors. The new extension of zero-divisor graph of a commutative ring R denoted by

\tilde{Γ} (R),

is an undirected graph with vertex set

Z {(R)}^{*}

and two vertices x and y are adjacent if and only if either xy = 0 or

x + y \in Z (R) .

In this paper, first we characterized finite rings R for which

\tilde{Γ} (R),

is isomorphic to some well-known graphs and then we classify all the finite rings R for which

\tilde{Γ} (R)

is planar, outerplanar, toroidal or double toroidal. Finally, we classify the finite rings R for which the graph

\tilde{Γ} (R)

has crosscap at most two.

9 June 2022 in Ars Mathematica Contemporanea

Journal Article

On the essential annihilating-ideal graph of commutative rings

MN

NR

Nadeem ur Rehman

On the essential annihilating-ideal graph of commutative rings

About Me

Prof. Dr. Nadeem ur Rehman is a Professor at the Department of Mathematics, Aligarh Muslim University, Aligarh, India. He received his Ph.D. from Aligarh Muslim University, Aligarh. He has 20 years of teaching experience. He has authored more than 190 papers published in national and international journals. He also serves as an Editor and a Reviewer for different international journals. His main research interests include ring theory, derivations on rings and semiprime rings, differential identities in rings and algebras, rings with involution, graph theory, discrete structures for computer science and mathematics, and algebraic coding theory.

Prof. Dr. Nadeem ur Rehman is a Professor at the Department of Mathematics, Aligarh Muslim University, Aligarh, India. He received his Ph.D. from Aligarh Muslim University, Aligarh. He has 20 years of teaching experience. He has authored more than 190 papers published in national and international journals. He also serves as an Editor and a Reviewer for different international journals. His main research interests include ring theory, derivations on rings and semiprime rings, differential identities in rings and algebras, rings with involution, graph theory, discrete structures for computer science and mathematics, and algebraic coding theory.