Quasi-projective modules and the finite exchange property-Reference-Cited by-同舟云学术

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Quasi-projective modules and the finite exchange property

Published:1989 Issue:4 Volume:12 Page:821-822
ISSN:0161-1712
Container-title:International Journal of Mathematics and Mathematical Sciences
language:en
Short-container-title:International Journal of Mathematics and Mathematical Sciences

Author:

Birkenmeier Gary F.¹

Affiliation:

1. Department of Mathematics, University of Southwestern Louisiana, Lafayette 70504, Louisiana, USA

Abstract

We define a module M to be directly refinable if whenever M=A+B, there existsA¯⊆AandB¯⊆Bsuch thatM=A¯⊕B¯. Theorem. Let M be a quasi-projective module. Then M is directly refinable if and only if M has the finite exchange property.

Publisher

Hindawi Limited

Subject

Mathematics (miscellaneous)

Link

http://downloads.hindawi.com/journals/ijmms/1989/401985.pdf

Cited by 6 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A note on dual automorphism invariant modules;Journal of Algebra and Its Applications;2017-02

2. Rings Whose Nonsingular Modules Have Projective Covers;Ukrainian Mathematical Journal;2016-06

3. A Generalization of Semiregular and Semiperfect Modules;Algebra Colloquium;2008-12

4. Generalized Stable Exchange Rings;Algebra Colloquium;2008-06

5. OnQBEndomorphism Rings;Communications in Algebra;2007-11-26

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