4 papers · 1 filter
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 $…