Article(electronic)May 17, 2020

Relationship of Essentially Small Quasi-Dedekind Modules with Scalar and Multiplication Modules

In: Iraqi journal of science, p. 179-182

Obaid, Inas Salman; Hussain, Mukdad Qaess; AbdulKareem, Darya Jabar

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Abstract

Let be a ring with 1 and D is a left module over . In this paper, we study the relationship between essentially small quasi-Dedekind modules with scalar and multiplication modules. We show that if D is a scalar small quasi-prime -module, thus D is an essentially small quasi-Dedekind -module. We also show that if D is a faithful multiplication -module, then D is an essentially small prime -module iff is an essentially small quasi-Dedekind ring.

Publisher

University of Baghdad College of Science

ISSN: 0067-2904

DOI

10.24996/ijs.2020.si.1.23

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