A Study on Generalized Derivation Acting on Jordan Ideal in Prime Rings

Let R be a 2-torsion-free prime ring and J be a non-zero Jordan ideal of R. Suppose that F: R → R is a generalized derivation associated with a non-zero derivation d. If F (xy) − d(x)d(y) ∈ Z(R), for all x, y ∈ J, then R is commutative.

Publication Details

Journal
International Journal of Mathematics Trends and Technology
Published
2025-08-30
DOI
https://doi.org/10.14445/22315373/ijmtt-v71i8p104
Primary Topic
Advanced Topics in Algebra
Type
article
Field-Weighted Citation Impact
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article

A Study on Generalized Derivation Acting on Jordan Ideal in Prime Rings

International Journal of Mathematics Trends and Technology
Advanced Topics in Algebra
article

A Study on Generalized Derivation Acting on Jordan Ideal in Prime Rings

article en

Abstract

Let R be a 2-torsion-free prime ring and J be a non-zero Jordan ideal of R. Suppose that F: R → R is a generalized derivation associated with a non-zero derivation d. If F (xy) − d(x)d(y) ∈ Z(R), for all x, y ∈ J, then R is commutative.

International Journal of Mathematics Trends and TechnologyVol. 71(8)
Openalex Percentile: Top 68%
Advanced Topics in Algebra
DOIOpen Access PDFOpenAlex
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