SEMIPRIME RINGS AND ORTHOGONALITY OF TWO -REVERSE DERIVATIONS ON RING, IDEAL, OR ONE SIDED IDEAL

Several results regarding the orthogonality of a pair of -reverse derivations on a semiprime ring have been provided. The results on an orthogonal q-reverse derivation for an appropriate subset (entire ring, nonzero ideals, or nonzero right ideals) of a 2-torsion-free semiprime ring are obtained. Our results are related to the product of two -reverse derivations.

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Publication Details

Journal
JP Journal of Algebra Number Theory and Applications
Published
2025-03-07
DOI
https://doi.org/10.17654/0972555525010
Primary Topic
Advanced Topics in Algebra
Type
article
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article

SEMIPRIME RINGS AND ORTHOGONALITY OF TWO -REVERSE DERIVATIONS ON RING, IDEAL, OR ONE SIDED IDEAL

Mahmoud M. El-Soufi
JP Journal of Algebra Number Theory and Applications
Advanced Topics in Algebra
article

SEMIPRIME RINGS AND ORTHOGONALITY OF TWO -REVERSE DERIVATIONS ON RING, IDEAL, OR ONE SIDED IDEAL

Mahmoud M. El-Soufi
article en

Abstract

Several results regarding the orthogonality of a pair of -reverse derivations on a semiprime ring have been provided. The results on an orthogonal q-reverse derivation for an appropriate subset (entire ring, nonzero ideals, or nonzero right ideals) of a 2-torsion-free semiprime ring are obtained. Our results are related to the product of two -reverse derivations.

JP Journal of Algebra Number Theory and Applications
Openalex Percentile: Top 92%
Advanced Topics in Algebra
DOIOpen Access PDFOpenAlex
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SEMIPRIME RINGS AND ORTHOGONALITY OF TWO -REVERSE DERIVATIONS ON RING, IDEAL, OR ONE SIDED IDEAL — Mahmoud M. El-Soufi · JP Journal of Algebra Number Theory and Applications (2025) | TGRS Research Map | TGRS