Artinian right serial rings
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- by Surjeet Singh PDF
- Proc. Amer. Math. Soc. 125 (1997), 2239-2240 Request permission
Abstract:
Let $R$ be an artinian ring such that for the Jacobson radical $J$ of $R$, $R/J$ is a direct product of matrix rings over finite-dimensional division rings. Then the following are proved to be equivalent: (1) Every indecomposable injective left $R$-module is uniserial. (2) $R$ is right serial.References
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Additional Information
- Surjeet Singh
- Affiliation: Department of Mathematics and Computer Science, Kuwait University, P.O. Box 5969, Safat 13060, Kuwait
- MR Author ID: 196800
- Email: singh@math-1.sci.kuniv.edu.kw
- Received by editor(s): December 14, 1995
- Received by editor(s) in revised form: February 22, 1996
- Additional Notes: This research was partially supported by the Kuwait University Research Grant No. SM126.
- Communicated by: Ken Goodearl
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 2239-2240
- MSC (1991): Primary 16P20; Secondary 16D50
- DOI: https://doi.org/10.1090/S0002-9939-97-03820-3
- MathSciNet review: 1377006