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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

Stable equivalence of uniserial rings


Authors: K. R. Fuller, J. Haack and H. Hullinger
Journal: Proc. Amer. Math. Soc. 68 (1978), 153-158
MSC: Primary 16A36
DOI: https://doi.org/10.1090/S0002-9939-1978-0463231-9
MathSciNet review: 0463231
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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.


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DOI: https://doi.org/10.1090/S0002-9939-1978-0463231-9
Keywords: Stable equivalence, Morita equivalence, local uniserial ring
Article copyright: © Copyright 1978 American Mathematical Society

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