Rings with flat socles

Author:
Yu Fei Xiao

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

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Abstract | References | Similar Articles | Additional Information

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.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1995-1254860-3

Article copyright:
© Copyright 1995
American Mathematical Society