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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Order ideals of minimal generators


Authors: E. Graham Evans and Phillip Griffith
Journal: Proc. Amer. Math. Soc. 86 (1982), 375-378
MSC: Primary 13C05
MathSciNet review: 671197
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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$.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1982-0671197-2
PII: S 0002-9939(1982)0671197-2
Article copyright: © Copyright 1982 American Mathematical Society