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Relationship of Essentially Small Quasi-Dedekind Modules with Scalar and Multiplication Modules
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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.
University of Baghdad College of Science
Title: Relationship of Essentially Small Quasi-Dedekind Modules with Scalar and Multiplication Modules
Description:
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.
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