Baghdad Science Journal | Current Issue

Volume 15 - Issue 3

(18 Articles)

(P) ISSN:2078-8665

(E) ISSN:2411-7986

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2018 > Issue 3 > Volume 15

St-Polyform Modules and Related Concepts

Muna Abbas Ahmed

Abstract:

In this paper, we introduce a new concept named St-polyform modules, and show that the class of St-polyform modules is contained properly in the well-known classes; polyform, strongly essentially quasi-Dedekind and κ-nonsingular modules. Various properties of such modules are obtained. Another characterization of St-polyform module is given. An existence of St-polyform submodules in certain class of modules is considered. The relationships of St-polyform with some related concepts are investigated. Furthermore, we introduce other new classes which are; St-semisimple and κ-non St-singular modules, and we verify that the class of St-polyform modules lies between them. .

Keywords:

κ-nonsingular modules, Polyform modules, Semi-essential submodules, St-closed submodules, Strongly essentially quasi-Dedekind modules. .

Published Date:13/09/2018 | Total Downloads:(25) | Doi:( http://10.21123/bsj.2018.15.3.0335 )