arXiv subjects

Gurninder S. Sandhu

Publications and source records attributed to Gurninder S. Sandhu.

2 recordsLinked to original sources

arXiv2020

Multiplicative (generalized)-derivations of prime rings that act as $n-$(anti)homomorphisms

Let $R$ be a prime ring. In this note, we describe the possible forms of multiplicative (generalized)-derivations of $R$ that act as $n-$homomorphism or $n-$antihomomorphism on nonzero ideals of $R.$ Consequently, from the given results one can easily deduce the results of Gusić \cite{Gusic2005}.

math.RA↗

arXiv2020

On $\ast-$Reverse Derivable Maps

Let $R$ be a ring with involution containing a nontrivial symmetric idempotent element $e$. Let $δ: R\rightarrow R$ be a mapping such that $δ(ab)=δ(b)a^{\ast}+b^{\ast}δ(a)$ for all $a,b\in R$, we call $δ$ a $\ast-$reverse derivable map on $R$. In this paper, our aim is to show that under some suitable restrictions imposed on $R$, every $\ast-$reverse derivable map of $R$ is additive.

math.RA↗