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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

On the height of ideals generated by matrices


Author: Joseph Becker
Journal: Proc. Amer. Math. Soc. 51 (1975), 393-394
MSC: Primary 32B15; Secondary 13C15
DOI: https://doi.org/10.1090/S0002-9939-1975-0385150-6
MathSciNet review: 0385150
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Abstract: A short geometric proof of the following algebraic theorem of Buchsbaum and Rim: Let $ R$ be the reduced local ring of an analytic variety and $ g:{R^t} \to {R^r},t \geq r$, be a homomorphism of $ R$ modules. Then the codimension of the support of the cokernel of $ g \leq t - r + 1$.


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DOI: https://doi.org/10.1090/S0002-9939-1975-0385150-6
Keywords: Height of ideal generated by matrices
Article copyright: © Copyright 1975 American Mathematical Society