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November 2019 Coneat Injective Modules
Mohanad Farhan Hamid
Missouri J. Math. Sci. 31(2): 201-211 (November 2019). DOI: 10.35834/2019/3102201

Abstract

A module is called coneat injective if it is injective with respect to all coneat exact sequences. The class of such modules is enveloping and falls properly between injectives and pure injectives. Generalizations of coneat injectivity, like relative coneat injectivity and full invariance of a module in its coneat injective envelope, are studied. Using properties of such classes of modules, we characterize certain types of rings like von Neumann regular and right SF-rings. For instance, $R$ is a right SF-ring if and only if every coneat injective left $R$-module is injective.

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Mohanad Farhan Hamid. "Coneat Injective Modules." Missouri J. Math. Sci. 31 (2) 201 - 211, November 2019. https://doi.org/10.35834/2019/3102201

Information

Published: November 2019
First available in Project Euclid: 16 November 2019

zbMATH: 07276127
MathSciNet: MR4032197
Digital Object Identifier: 10.35834/2019/3102201

Subjects:
Primary: 16D50

Rights: Copyright © 2019 Central Missouri State University, Department of Mathematics and Computer Science

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Vol.31 • No. 2 • November 2019
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