Some commutative rings defined by multiplication like-conditions
Bull. Korean Math. Soc. Published online August 25, 2021
MOHAMED CHHITI and SOIBRI MOINDZE
Modelling and Mathematical Structures Laboratory. Faculty of Science and Technology of Fez; Modelling and Mathematical Structures Laboratory. Faculty of Science and Technology of Fez
Abstract : 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.