A Simple Proof of some Generalized Principal Ideal Theorems

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Using symmetric algebras we simplify (and slightly strengthen) the Bruns-Eisenbud-Evans "generalized principal ideal theorem" on the height of order ideals of non-minimal generators in a module. We also obtain a simple proof and an extension of a result by Kwieciński, which estimates the height of certain Fitting ideals of modules having an equidimensional symmetric algebra.
6 pages, LaTeX

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Commutative Algebra, Algebraic Geometry, 13C15, 13C40; 13D10

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http://salesiana.dossiersoluciones.com/handle/123456789/64954

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0209186
 http://arxiv.org/abs/math/0209186
 Proceedings of the AMS 129 (2001) 2535--2540

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arXiv