Projective modules
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- by S. Jøndrup PDF
- Proc. Amer. Math. Soc. 59 (1976), 217-221 Request permission
Abstract:
In this note we prove that if $R$ is a ring satisfying a polynomial identity and $P$ is a projective left $R$-module such that $P$ is finitely generated modulo the Jacobson radical, then $P$ is finitely generated. As a corollary we get that if $R$ is a ring still satisfying a polynomial identity and $M$ is a finitely generated flat $R$-module such that $M/JM$ is $R/J$-projective, then $M$ is $R$-projective, $J$ denotes the Jacobson radical.References
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Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 59 (1976), 217-221
- MSC: Primary 16A50
- DOI: https://doi.org/10.1090/S0002-9939-1976-0419525-4
- MathSciNet review: 0419525