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
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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