St-Polyform Modules and Related Concepts Muna Abbas Ahmed

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Baghdad Science Journal

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 ?-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 ?-non St-singular modules, and we verify that the class of St-polyform modules lies between them.

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1.
Journal BS. St-Polyform Modules and Related Concepts. BSJ [Internet]. 13Sep.2018 [cited 9Aug.2020];15(3):0335. Available from: http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/2482
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