FINITELY GENERATED δ-SUPPLEMENTED MODULES ARE AMPLY δ-SUPPLEMENTED-Reference-Cited by-同舟云学术

FINITELY GENERATED δ-SUPPLEMENTED MODULES ARE AMPLY δ-SUPPLEMENTED

Published:2012-02-07 Issue:3 Volume:86 Page:430-438
ISSN:0004-9727
Container-title:Bulletin of the Australian Mathematical Society
language:en
Short-container-title:Bull. Aust. Math. Soc.

Author:

TRIBAK RACHID

Abstract

AbstractLet R be a commutative ring. It is shown that if an R-module M is a sum of δ-local submodules and a semisimple projective submodule, then every finitely generated submodule of M is δ-supplemented. From this result, we conclude that finitely generated δ-supplemented modules over commutative rings are amply δ-supplemented.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference8 articles.

1. When δ-semiperfect rings are semiperfect;Büyükaşik;Turkish J. Math.,2010

2. Rings and Categories of Modules

3. Generalizations of Perfect, Semiperfect, and Semiregular Rings

4. δ-Lifting and δ-Supplemented Modules

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