A not of Modules with (f.S*) Property

Authors

  • Wasan Khalid Department of Mathematics, College of Science, University of Baghdad.
  • Sahira Mahmood Department of Mathematics, College of Science, University of Baghdad.

Keywords:

NON

Abstract

Let R be an associative ring with identity and M be unital non zero right R-module. In this work,we introduce (f.S*) property as a generilization of (S*) property .A module M is said to satisfy the property (f.S*) if for every finitely generated submodule N of M there exists a direct summand K of M such that K£N and N/K is cosingular. A ring R satisfies (f.S*) if the (right) R-module R satisfies (f.S*), and study the concept of module that satisfies the property of (f.S*) we was proved in theorem (3.1) that every right R-module M is satisfies (f.S*) if and only if every finitily generated submodule is direct sum of injective module and a cosingular module .Also we investigate some of their properties that are relevant with our work .

Published

2012-06-01

Issue

Section

Articles

How to Cite

[1]
“A not of Modules with (f.S*) Property”, ANJS, vol. 15, no. 2, pp. 148–151, Jun. 2012, Accessed: Mar. 28, 2024. [Online]. Available: https://anjs.edu.iq/index.php/anjs/article/view/1367

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