Some Remarks on Finitely Quasi-injective Modules

Authors

  • Zhu Zhanmin Department of Mathematics, Jiaxing University , Jiaxing, Zhejiang Province, 314001, P.R.China

Keywords:

finitely quasi-injective modules, Kasch modules, endomorphism rings,

Abstract

Let R be a ring. A right R-module M is called finitely quasi-injective
if each R-homomorphism from a finitely generated submodule of M to M can be extended to an endomorphism of M. Some conditions under which finitely generated finitely quasi-injective modules are of finite Goldie Dimensions are given, and finitely generated finitely quasi-injective Kasch modules are studied.

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Published

2013-05-01

Issue

Vol. 6 No. 2: (April 2013)

Section

Algebra

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How to Cite

Some Remarks on Finitely Quasi-injective Modules. (2013). European Journal of Pure and Applied Mathematics, 6(2), 119-125. https://www.ejpam.com/index.php/ejpam/article/view/1767