On a characterization of commutativity for prime rings via endomorphisms

Moulay Abdallah Idrissi; Abdellah  Mamouni; Lahcen  Oukhtite

doi:10.5269/bspm.50592

Moulay Abdallah Idrissi University Sidi Mohamed Ben Abdellah
Abdellah Mamouni Moulay Ismail University
Lahcen Oukhtite University Sidi Mohamed Ben Abdellah

Abstract

Our aim in the present paper is to introduce new classes of endomorphisms and study their connection with commutativity of prime rings with involution of the second kind. Furthermore, we provide examples to show that the various restrictions imposed in the hypotheses of our theorems are not superfluous.

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Author Biographies

Moulay Abdallah Idrissi, University Sidi Mohamed Ben Abdellah

Faculty of Science and Technology

Abdellah Mamouni, Moulay Ismail University

Faculty of Sciences and Technology Errachidia

Lahcen Oukhtite, University Sidi Mohamed Ben Abdellah

Faculty of Science and Technology of Fez

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