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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 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Completely decomposable flat modules over locally factorial domains
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by E. L. Lady PDF
Proc. Amer. Math. Soc. 54 (1976), 27-31 Request permission

Abstract:

Rank $1$ flat modules are classified for a locally factorial noetherian domain by extending the concept of divisor. A direct sum of rank one flat modules in called completely decomposable. A summand of a completely decomposable module is a direct sum of homogeneous components but need not be completely decomposable.
References
Additional Information
  • © Copyright 1976 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 54 (1976), 27-31
  • DOI: https://doi.org/10.1090/S0002-9939-1976-0387265-6
  • MathSciNet review: 0387265