Stable equivalence of uniserial rings
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- by K. R. Fuller, J. Haack and H. Hullinger PDF
- Proc. Amer. Math. Soc. 68 (1978), 153-158 Request permission
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.References
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Additional Information
- © Copyright 1978 American Mathematical Society
- 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