Some commutativity criteria for prime rings with central values involving two endomorphisms

The main purpose of this paper is to study the commutativity of a prime ring R with involution of the second kind provided with two endomorphisms satisfying certain algebraic identities. Finally, we provide examples to show that various restrictions imposed in the hypotheses of our theorems are not...

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Bibliographic Details
Published inRendiconti del Circolo matematico di Palermo Vol. 72; no. 3; pp. 1719 - 1727
Main Authors Charrabi, K., Mamouni, A., Nejjar, B.
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.04.2023
Springer Nature B.V
Subjects
Algebra
Analysis
Applications of Mathematics
Commutativity
Geometry
Mathematics
Mathematics and Statistics
Commutativity
Involution
16Y60
Prime rings
16U80
16W25
Endomorphisms
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Summary:The main purpose of this paper is to study the commutativity of a prime ring R with involution of the second kind provided with two endomorphisms satisfying certain algebraic identities. Finally, we provide examples to show that various restrictions imposed in the hypotheses of our theorems are not superfluous.
ISSN:0009-725X
1973-4409
DOI:10.1007/s12215-022-00753-8