On Dependent Elements of Semiprime Rings
Mehsin Jabel Atteya
TL;DR
This paper explores the properties of dependent elements in semiprime and prime rings using generalized derivations, providing new results under specific ring conditions.
Contribution
It introduces new results on dependent elements in semiprime rings using generalized derivations, expanding understanding of ring structure.
Findings
New conditions under which dependent elements behave in semiprime rings
Results relating generalized derivations to ring element dependencies
Insights into the structure of prime rings with dependent elements
Abstract
In this paper we study and investigate concerning dependent elements of semiprime rings and prime rings R by using generalized derivation and derivation,when R admsit to satisfy some conditions,we give some results about that.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Rings, Modules, and Algebras