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2009 MODULES WHOSE EC-CLOSED SUBMODULES ARE DIRECT SUMMAND
Canan Celep Y¨ucel, Adnan Tercan
Taiwanese J. Math. 13(4): 1247-1256 (2009). DOI: 10.11650/twjm/1500405505

Abstract

A module $M$ is called ECS if every ec-closed submodule of $M$ is a direct summand. It was shown that the ECS property lies strictly between CS and P-extending properties. We studied modules $M$ such that every homomorphism from an ec-closed submodule of $M$ to $M$ can be lifted to $M$. Although such modules share some of the properties of ECS-modules, it is shown that they form a substantially bigger class of modules.

Citation

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Canan Celep Y¨ucel. Adnan Tercan. "MODULES WHOSE EC-CLOSED SUBMODULES ARE DIRECT SUMMAND." Taiwanese J. Math. 13 (4) 1247 - 1256, 2009. https://doi.org/10.11650/twjm/1500405505

Information

Published: 2009
First available in Project Euclid: 18 July 2017

zbMATH: 1203.16005
MathSciNet: MR2543740
Digital Object Identifier: 10.11650/twjm/1500405505

Subjects:
Primary: 16D50 , 16D70

Keywords: ec-closed submodule , Extending module , p-extending module , uniform dimension

Rights: Copyright © 2009 The Mathematical Society of the Republic of China

Vol.13 • No. 4 • 2009
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