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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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Projective modules with free multiples and powers
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by Hyman Bass and Robert Guralnick
Proc. Amer. Math. Soc. 96 (1986), 207-208
DOI: https://doi.org/10.1090/S0002-9939-1986-0818444-5
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Abstract:

Let $P$ be a finitely generated projective module over a commutative ring. Some tensor power of $P$ is free iff some sum of copies of $P$ is free.
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Bibliographic Information
  • © Copyright 1986 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 96 (1986), 207-208
  • MSC: Primary 13C10; Secondary 13D15, 18F25, 19A15
  • DOI: https://doi.org/10.1090/S0002-9939-1986-0818444-5
  • MathSciNet review: 818444