Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

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Commun. Korean Math. Soc. 2022; 37(3): 659-667

Online first article May 13, 2022      Printed July 31, 2022

https://doi.org/10.4134/CKMS.c210240

Copyright © The Korean Mathematical Society.

Commutativity criteria of prime rings involving two endomorphisms

Souad Dakir, Abdellah Mamouni, Mohammed Tamekkante

University Moulay Ismail Meknes; University Moulay Ismail Meknes; University Moulay Ismail Meknes

Abstract

This paper treats the commutativity of prime rings with involution over which elements satisfy some specific identities involving endomorphisms. The obtained results cover some well-known results. We show, by given examples, that the imposed hypotheses are necessary.

Keywords: Prime ring, involution, commutativity, endomorphisms of rings

MSC numbers: Primary 16N60, 16W10, 16W25