arXiv subjects

Nadeem ur Rehman

Publications and source records attributed to Nadeem ur Rehman.

2 recordsLinked to original sources

arXiv2022

On commutativity of prime rings with skew derivations

Let $\mathscr{R}$ be a prime ring of Char$(\mathscr{R}) \neq 2$ and $m\neq 1$ be a positive integer. If $S$ is a nonzero skew derivation with an associated automorphism $\mathscr{T}$ of $\mathscr{R}$ such that $([S([a, b]), [a, b]])^{m} = [S([a, b]), [a, b]]$ for all $a, b \in \mathscr{R}$, then $\mathscr{R}$ is commutative.

math.RA↗

arXiv2021

Action of prime ideals on generalized derivations-I

In the present paper, we investigate the commutativity of quotient ring $R/P$ where $R$ is any ring and $P$ is a prime ideal of $R$ which admits generalized derivations are satisfying some algebraic identities acting on prime ideals $P$.

math.RA↗