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V-Modules with krull dimension

Published:1988-04 Issue:2 Volume:37 Page:237-240
ISSN:0004-9727
Container-title:Bulletin of the Australian Mathematical Society
language:en
Short-container-title:Bull. Austral. Math. Soc.

Author:

Yousif Mohamed F.

Abstract

Boyle and Goodearl proved that if R is a left V-ring then R has left Krull dimension if and only if R is left Neotherian. In this paper we extend this result to arbitrary V-modules.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference8 articles.

1. Regular modules and V-modules;Hirano;Hiroshima Math. J.,1981

2. Krull dimension;Gordon;Mem. Amer. Math. Soc.,1973

3. On s-unital rings;Tomissaga;Math. J. Okayama Univ.,1976

4. Generalized V-rings and Von Neumann regular rings;Baccella;Rend. Sem. Mat. Univ. Padova,1984

5. Rings over which certain modules are injective

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. On commutative rings whose maximal ideals are idempotent;Commentationes Mathematicae Universitatis Carolinae;2019-11-25

2. Max Rings and V-rings;Handbook of Algebra;2003

3. On weakly SI-modules;Bulletin of the Australian Mathematical Society;1994-02

4. A note on GV-modules with Krull dimension;Glasgow Mathematical Journal;1990-09

5. On continuous and singular modules;Lecture Notes in Mathematics;1990

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