Flat and projective character modules-Reference-Cited by-同舟云学术

Flat and projective character modules

Published:1981 Issue:2 Volume:81 Page:175-177
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Cheatham Thomas J.,Stone David R.

Abstract

We characterize left coherent, left Noetherian, and left Artinian rings by the flatness, projectivity, and injectivity of the character module of certain left R R -modules.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1981-081-02/S0002-9939-1981-0593450-2/S0002-9939-1981-0593450-2.pdf

Reference10 articles.

1. Rings satisfying a minimum condition on principal ideals;Björk, Jan-Erik;J. Reine Angew. Math.,1969

2. Direct products of modules;Chase, Stephen U.;Trans. Amer. Math. Soc.,1960

3. Regular and semisimple modules;Cheatham, T. J.;Pacific J. Math.,1976

4. Rings which have flat injective modules;Colby, R. R.;J. Algebra,1975

5. A note on semihereditary rings;Enochs, E.;Canad. Math. Bull.,1973

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