Open AccessOn a characterization of commutativity for prime rings via endomorphisms
Author(s) -
Moulay Abdallah Idrissi,
Abdellah Mamouni,
L. Oukhtite
Publication year - 2022
Publication title -
boletim da sociedade paranaense de matemática
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.347
H-Index - 15
eISSN - 2175-1188
pISSN - 0037-8712
DOI - 10.5269/bspm.50592
Subject(s) - endomorphism , commutative property , involution (esoterism) , prime (order theory) , pure mathematics , mathematics , characterization (materials science) , algebra over a field , physics , combinatorics , political science , law , optics , politics
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.