Strongly Maximal Submodules with A Study of Their Influence on Types of Modules | Ibn AL-Haitham Journal For Pure and Applied Sciences

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Published: Jan 20, 2022

DOI: https://doi.org/10.30526/35.1.2802

Keywords:

Maximal submodule, regular module, regular ring, semi-simple module, prime module.

Fatima M. Mohialdeen

Buthyna N. Shihab

Abstract

Let S be a commutative ring with identity, and A is an S-module. This paper introduced an important concept, namely strongly maximal submodule. Some properties and many results were proved as well as the behavior of that concept with its localization was studied and shown.

How to Cite

[1]

Mohialdeen, F.M. and Shihab, B.N. 2022. Strongly Maximal Submodules with A Study of Their Influence on Types of Modules. Ibn AL-Haitham Journal For Pure and Applied Sciences. 35, 1 (Jan. 2022), 84–91. DOI:https://doi.org/10.30526/35.1.2802.