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Bull. Korean Math. Soc. 2022; 59(2): 397-405
Online first article March 2, 2022 Printed March 31, 2022
https://doi.org/10.4134/BKMS.b210293
Copyright © The Korean Mathematical Society.
Some commutative rings defined by multiplication like-conditions
Mohamed Chhiti, Soibri Moindze
University S.M. Ben Abdellah Fez; University S.M. Ben Abdellah Fez
In this article we investigate the transfer of multiplication-like properties to homomorphic images, direct products and amalgamated duplication of a ring along an ideal. Our aim is to provide examples of new classes of commutative rings satisfying the above-mentioned properties.
Keywords: Multiplication ideals, multiplication rings, almost multiplication rings, arithmetical rings, amalgamated duplication of a ring along an ideal, trivial ring extension
MSC numbers: 13B10, 13B99, 13A15
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