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The Dual Notion of St-Polyform Modules
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The concept of St-Polyform modules, was introduced and studied by Ahmed in [1], where a module M is called St-polyform, if for every submodule N of M and for any homomorphism ð‘“:N M; kerð‘“ is St-closed submodule in N. The novelty of this paper is to dualize this class of modules, the authors call it CSt-polyform modules, and according to this dualizations, some results which appeared in [1] are dualized for example we prove that in the class of hollow modules, every CSt-polyform module is coquasi-Dedekind. In addition, several important properties of CSt-polyform module are established, and other characterization of CSt-polyform is given. Moreover, many relationships of CSt-polyform modules with other related concepts are considered such as copolyform, epiform, CSt-semisimple, -nonsingular modules, and some others will be introduced such as non CSt-singular and G. coquasi-Dedekind modules.
University of Baghdad College of Science
Title: The Dual Notion of St-Polyform Modules
Description:
The concept of St-Polyform modules, was introduced and studied by Ahmed in [1], where a module M is called St-polyform, if for every submodule N of M and for any homomorphism ð‘“:N M; kerð‘“ is St-closed submodule in N.
The novelty of this paper is to dualize this class of modules, the authors call it CSt-polyform modules, and according to this dualizations, some results which appeared in [1] are dualized for example we prove that in the class of hollow modules, every CSt-polyform module is coquasi-Dedekind.
In addition, several important properties of CSt-polyform module are established, and other characterization of CSt-polyform is given.
Moreover, many relationships of CSt-polyform modules with other related concepts are considered such as copolyform, epiform, CSt-semisimple, -nonsingular modules, and some others will be introduced such as non CSt-singular and G.
coquasi-Dedekind modules.
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