9 papers
Commuting Jordan derivations over a Ring with idempotents
Sk. Aziz, Om Prakash, Arindam Ghosh
This paper explores the behaviour of commuting Jordan derivations over prime rings with non-trivial idempotents and demonstrates that they become zero maps. Further, it establishes…
Additivity of multiplicative (generalized) skew semi-derivations on rings
Sk. Aziz, Arindam Ghosh, Om Prakash
In this paper, we introduce a new class of derivations that generalizes skew derivations and semi-derivations, and we call it ``skew semi-derivation". Further, we present a study o…
Additivity of multiplicative (generalized) maps over rings
Sk Aziz, Arindam Ghosh, Om Prakash
In this paper, we mainly prove some results on the additivity of maps over rings under certain conditions. First, we discuss a special case of MARTINDALE III's theorem of \cite{196…
Some generalized Jordan maps on triangular rings force additivity
Sk Aziz, Arindam Ghosh, Om Prakash
In this paper, we show that a map over a triangular ring satisfying , for all and for some maps over $…
New Results on Generalization of Jordan centralizers over matrix rings
Arindam Ghosh, Om Prakash, Sushma Singh
This paper presents a study on Jordan maps over matrix rings with some functional equations related to additive maps on these rings. We first show that every Jordan left (right) ce…
Generalized (m,n)-Jordan centralizers and derivations on semiprime rings
Arindam Ghosh, Om Prakash
In this article, we prove Conjecture posed in 2013 by Foner \cite{fos} and Conjecture posed in 2014 by Ali and Foner \cite{ali} related to generalized…