International Journal of Nonlinear Analysis and Applications

Semi local hollow modules

Document Type : Research Paper

Authors

1 Department of Mathematics, College of Education for pure science, Tikrit university, Tikrit, Iraq

2 Department of Mathematics, College of Education for women, Tikrit university, Tikrit, Iraq

Abstract

To consider \(R\) is a commutative ring with unitary, \(X\) be a non--Zero unity left \(R - module\); \(X\) is known hollow module if each proper sub module of \(X\) is semi small local hollow module if \(X\) has a unique maximal submodule which contains each semi small submodule. The current study deals with this class of modules and give several fundamental properties related with this concept.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 12, Issue 2
November 2021
Pages 2545-2553
  • Receive Date: 12 March 2021
  • Accept Date: 28 May 2021