Commuting Jordan derivations over a Ring with idempotents

Autor:	Aziz, Sk., Prakash, Om, Ghosh, Arindam
Rok vydání:	2024
Předmět:	Mathematics - Rings and Algebras 16N60 16W25 17C27
Druh dokumentu:	Working Paper
Popis:	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 this result for commuting Jordan higher derivations over prime rings under specific conditions. In fact, it introduces commuting generalized Jordan derivations over rings and establishes that the zero map is the only commuting generalized Jordan derivation over prime rings under certain assumptions. Comment: 10
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2412.09300 Zobrazit plný text záznamu View this record from Arxiv