Certain algebraic identities on prime rings with involution

In this paper, we investigate commutativity of rings with involution provided with derivations and generalized derivations satisfying some algebraic identities. Furthermore, we provide examples to show that various restrictions in the hypotheses of our theorems are not superfluous.

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Bibliographic Details
Published inCommunications in algebra Vol. 49; no. 7; pp. 2976 - 2986
Main Authors Mamouni, A., Oukhtite, L., Zerra, M.
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 18.06.2021
Taylor & Francis Ltd
Subjects
Algebra
Commutativity
derivation
generalized derivation
involution
Prime ring
Rings (mathematics)
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Summary:In this paper, we investigate commutativity of rings with involution provided with derivations and generalized derivations satisfying some algebraic identities. Furthermore, we provide examples to show that various restrictions in the hypotheses of our theorems are not superfluous.
ISSN:0092-7872
1532-4125
DOI:10.1080/00927872.2021.1887203