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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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Order ideals of minimal generators
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by E. Graham Evans and Phillip Griffith
Proc. Amer. Math. Soc. 86 (1982), 375-378
DOI: https://doi.org/10.1090/S0002-9939-1982-0671197-2

Abstract:

Let $R$ be a local noetherian domain with algebraically closed residue field and let $M$ be a finitely generated module of rank $r$ which is not free. Then there is some minimal generator $x$ of $M$ such that the ideal of images of $x$ under maps of $M$ to $R$ has height at most $r$.
References
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Bibliographic Information
  • © Copyright 1982 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 86 (1982), 375-378
  • MSC: Primary 13C05
  • DOI: https://doi.org/10.1090/S0002-9939-1982-0671197-2
  • MathSciNet review: 671197