Stable equivalence of uniserial rings-Reference-Cited by-同舟云学术

Stable equivalence of uniserial rings

Published:1978 Issue:2 Volume:68 Page:153-158
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Fuller K. R.,Haack J.,Hullinger H.

Abstract

It is well known that two basic rings are Morita equivalent if and only if they are isomorphic. Here it is shown that local uniserial rings are stably equivalent in the sense of M. Auslander and I. Reiten in case they are isomorphic modulo certain powers of their radicals. In particular, two commutative local uniserial rings of Loewy length n are stably equivalent if and only if they are isomorphic modulo the [n/2]th power of their radicals.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1978-068-02/S0002-9939-1978-0463231-9/S0002-9939-1978-0463231-9.pdf

Reference8 articles.

1. Graduate Texts in Mathematics, Vol. 13;Anderson, Frank W.,1974

2. Stable equivalence of Artin algebras;Auslander, Maurice,1973

3. Representation theory of Artin algebras. III. Almost split sequences;Auslander, Maurice;Comm. Algebra,1975

4. Stable equivalence of dualizing 𝑅-varieties;Auslander, Maurice;Advances in Math.,1974

5. Stable equivalence of dualizing 𝑅-varieties. II. Hereditary dualizing 𝑅-varieties;Auslander, Maurice;Advances in Math.,1975

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