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

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Abstract

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.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Sciences, Moulay Ismaïl University, Meknes, Morocco

    K. Charrabi & A. Mamouni

  2. Laboratory of Innovant Technologies, High School of Technology, SMBA University, Fez, Morocco

    B. Nejjar

Authors
  1. K. Charrabi
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  2. A. Mamouni
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  3. B. Nejjar
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Correspondence to B. Nejjar.

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Charrabi, K., Mamouni, A. & Nejjar, B. Some commutativity criteria for prime rings with central values involving two endomorphisms. Rend. Circ. Mat. Palermo, II. Ser 72, 1719–1727 (2023). https://doi.org/10.1007/s12215-022-00753-8

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  • DOI: https://doi.org/10.1007/s12215-022-00753-8

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