Certain commutativity criteria for rings with involution involving generalized derivations-Reference-Cited by-同舟云学术

Certain commutativity criteria for rings with involution involving generalized derivations

Published:2020-03-01 Issue:1 Volume:27 Page:133-139
ISSN:1072-947X
Container-title:Georgian Mathematical Journal
language:
Short-container-title:

Author:

Nejjar Badr¹,Kacha Ali¹,Mamouni Abdellah²,Oukhtite Lahcen³

Affiliation:

1. Department of Mathematics, Faculty of Science, University Ibn Tofail, Kenitra, Morocco

2. Department of Mathematics, Faculty of Science and Technology Box 509-Boutalamine, University Moulay Ismaïl, Errachidia, Morocco

3. Department of Mathematics, Faculty of Science and Technology of Fez, Box 2202, University S. M. Ben Abdellah Fez, Fez, Morocco

Abstract

AbstractIn this article we investigate some commutativity criteria for a ring with involution

{(R,\ast}

) in which generalized derivations satisfy certain algebraic identities. Moreover, we provide examples to show that the assumed restriction cannot be relaxed.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/downloadpdf/journals/gmj/27/1/article-p133.xml

Reference38 articles.

1. Differential identities on Jordan ideals of rings with involution;Hacet. J. Math. Stat.,2016

2. A note on semiprime rings with derivation;Int. J. Math. Math. Sci.,1997

3. Generalized derivations and commutativity of prime rings;Indian J. Pure Appl. Math.,2003

4. Remarks on derivations on semiprime rings;Int. J. Math. Math. Sci.,1992

5. On derivations in semiprime rings;Algebr. Represent. Theory,2012

Cited by 7 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Characterizations of Commutativity of Prime Ring with Involution by Generalized Derivations;Mathematics;2024-07-22

2. CERTAIN DIFFERENTIAL IDENTITIES IN PRIME RINGS WITH ANTI-AUTOMORPHISMS;B KOREAN MATH SOC;2024

3. A Pair of Derivations on Prime Rings with Antiautomorphism;Mathematics;2023-07-29

4. On generalized derivations and commutativity of prime rings with involution;Communications in Algebra;2023-03-09

5. A Pair of Derivations of Prime Rings with Involution;Springer Proceedings in Mathematics & Statistics;2022