The Dual Notion of St-Polyform Modules

Authors

  • Muna Abbas Ahmed Department of Mathematics, College of Science for Women, University of Baghdad, Baghdad, Iraq
  • Noor Riyadh Adeeb Department of Mathematics, College of Science for Women, University of Baghdad, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2021.62.11.25

Keywords:

St-Polyform modules, CSt-Polyform modules, P-small submodules, St-closed submodules, CSt-closed submodules

Abstract

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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Published

2021-11-30

How to Cite

Ahmed, M. A. ., & Adeeb, N. R. . (2021). The Dual Notion of St-Polyform Modules. Iraqi Journal of Science, 62(11), 4056–4064. https://doi.org/10.24996/ijs.2021.62.11.25

Issue

Section

Mathematics