Quotient rings of endomorphism rings of modules with zero singular submodule
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- by John Hutchinson and Julius Zelmanowitz PDF
- Proc. Amer. Math. Soc. 35 (1972), 16-20 Request permission
Abstract:
Throughout this paper (R, M, N, S) will denote a Morita context satisfying a certain nonsingularity condition. For such contexts we give necessary and sufficient conditions in terms of M and R for S to have a semisimple maximal left quotient ring; respectively a full linear maximal left quotient ring, a semisimple classical left quotient ring. In doing so we extend the corresponding well-known theorems for rings (employing them in the process) to endomorphism rings.References
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Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 35 (1972), 16-20
- MSC: Primary 16A40
- DOI: https://doi.org/10.1090/S0002-9939-1972-0297805-X
- MathSciNet review: 0297805