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s-pure submodules

Published:2005 Issue:4 Volume:2005 Page:491-497
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:

Crivei Iuliu¹

Affiliation:

1. Department of Mathematics, Technical University of Cluj-Napoca, Str. C. Daicoviciu 15, Cluj-Napoca 400020, Romania

Abstract

A submoduleAof a rightR-moduleBis calleds-pure iff⊗R1Sis a monomorphism for every simple leftR-moduleS, wheref:A→Bis the inclusion homomorphism. We establish some properties ofs-pure submodules and uses-purity to characterize commutative rings with every maximal ideal idempotent.

Publisher

Hindawi Limited

Subject

Mathematics (miscellaneous)

Link

http://downloads.hindawi.com/journals/ijmms/2005/490803.pdf

Cited by 8 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. On Purities Relative to Minimal Right Ideals;Lobachevskii Journal of Mathematics;2023-07

2. On max-flat and max-cotorsion modules;Applicable Algebra in Engineering, Communication and Computing;2021-01-06

3. Coneat Injective Modules;Missouri Journal of Mathematical Sciences;2019-11-01

4. ON SOME GENERALIZATIONS OF CLOSED SUBMODULES;Bulletin of the Korean Mathematical Society;2015-09-30

5. Absolutelys-Pure Modules and Neat-Flat Modules;Communications in Algebra;2014-08-13

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