Generalized skew derivations on ideal with engel conditions
Ashutosh Pandey, Balchand Prajapati
TL;DR
This paper characterizes the structure of generalized skew derivations on prime rings with Engel conditions, providing a comprehensive understanding of their behavior under specific algebraic constraints.
Contribution
It offers a complete description of generalized skew derivations on prime rings satisfying Engel conditions, extending previous results in ring theory.
Findings
Structured form of generalized skew derivations determined
Conditions under which derivations exhibit specific behaviors identified
Results applicable to prime rings with Engel conditions
Abstract
Let R be a prime ring of characteristic different from 2, U be the Utumi quotient ring of R and C be the extended centroid of R. Let F be a generalized skew derivation on R, I be a non-zero ideal of R. Then we give the complete structure of F satisfying certain conditions.
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Taxonomy
TopicsAdvanced Topics in Algebra · Rings, Modules, and Algebras · Algebraic structures and combinatorial models