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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Rings with flat socles
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by Yu Fei Xiao
Proc. Amer. Math. Soc. 123 (1995), 2391-2395
DOI: https://doi.org/10.1090/S0002-9939-1995-1254860-3

Abstract:

We show that the class of rings with flat socles is closed under the formation of polynomial extensions, direct products, and excellent extensions. We also point out that if a ring R can be embedded into a semisimple Artinian ring, then all finitely generated flat R-modules are projective.
References
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Bibliographic Information
  • © Copyright 1995 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 123 (1995), 2391-2395
  • MSC: Primary 16D40
  • DOI: https://doi.org/10.1090/S0002-9939-1995-1254860-3
  • MathSciNet review: 1254860