Criteria for a direct sum of modules to be a multiplication module over noncommutative rings

T. Alsuraiheed; V.V. Bavula

doi:10.1016/j.jalgebra.2021.05.006

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Criteria for a direct sum of modules to be a multiplication module over noncommutative rings

Journal article

Peer reviewed

Criteria for a direct sum of modules to be a multiplication module over noncommutative rings

T. Alsuraiheed and V.V. Bavula

Journal of algebra, Vol.584, pp.69-88

15/10/2021

DOI: https://doi.org/10.1016/j.jalgebra.2021.05.006

Abstract

Dedekind domain

Multiplication ideal

Multiplication module

Multiplication ring

We study multiplication modules. The rings are not assumed to be commutative. Several criteria with some applications are given for a direct sum of modules to be a multiplication module.

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Title: Criteria for a direct sum of modules to be a multiplication module over noncommutative rings
Creators - without role: T. Alsuraiheed - King Saud University
V.V. Bavula - University of Sheffield
Publication Details: Journal of algebra, Vol.584, pp.69-88
Publisher: Elsevier Inc
Identifiers: 9947250408331
Academic Unit: King Saud University
Language: English
Resource Type: Journal article