On rings whose left modules are direct sums of finitely generated modules-Reference-Cited by-同舟云学术

On rings whose left modules are direct sums of finitely generated modules

Published:1976 Issue:1 Volume:54 Page:39-44
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Fuller Kent R.

Abstract

The relationship between rings of finite module type and rings whose left modules have decompositions that complement direct summands is examined by proving that the latter are precisely the rings of the title.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1976-054-01/S0002-9939-1976-0393133-6/S0002-9939-1976-0393133-6.pdf

Reference18 articles.

1. Modules with decompositions that complement direct summands;Anderson, F. W.;J. Algebra,1972

2. M. Auslander, Representation dimension of artin algebras, Queen Mary College Notes, London, 1971.

3. \bysame, Notes on representation theory of artin algebras (written by I. Reiten), Brandeis Univ., Waltham, Mass., 1971-1972.

4. \bysame, Representation theory of artin algebras. II, Comm. Algebra 1 (1974), 269-310.

5. \bysame, Large modules over artin algebras, (to appear).

Cited by 48 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. Strong equivalence of graded algebras;Journal of Algebra;2024-12

2. Corner replacement for Morita contexts;Linear Algebra and its Applications;2024-10

3. Morita Equivalence and Morita Duality for Rings with Local Units and the Subcategory of Projective Unitary Modules;Applied Categorical Structures;2024-04

4. Rings whose modules satisfy chain conditions on essential endosubmodules;Communications in Algebra;2023-03-16

5. Torsion and torsion-free classes from objects of finite type in Grothendieck categories;Journal of Algebra;2022-10