Multiplicative semiderivations on ideals in semiprime rings
Oznur Golbasi, Onur Agirtici
TL;DR
This paper introduces the concept of multiplicative semiderivations in semiprime rings and explores how these influence the rings' commutativity under specific conditions involving ideals.
Contribution
It defines multiplicative semiderivations and investigates their role in determining the commutativity of semiprime rings with certain identities.
Findings
Conditions under which rings are commutative are established.
New properties of multiplicative semiderivations are characterized.
Theoretical framework for semiderivations in semiprime rings is developed.
Abstract
In this paper, we introduce multiplicative semiderivation and we investigate the commutativity of semiprime rings satisfying certain conditions and identities involving multiplicative semiderivations on a nonzero ideal I of a ring R.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Rings, Modules, and Algebras