A Simple Proof of some Generalized Principal Ideal Theorems

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dc.creatorEisenbud, David
dc.creatorHuneke, Craig
dc.creatorUlrich, Bernd
dc.date2002-09-15
dc.date.accessioned2026-07-07T04:50:53Z
dc.date.available2026-07-07T04:50:53Z
dc.descriptionUsing 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.
dc.description6 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/math/0209186
dc.identifierhttp://arxiv.org/abs/math/0209186
dc.identifierProceedings of the AMS 129 (2001) 2535--2540
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64954
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.subject13C15, 13C40; 13D10
dc.titleA Simple Proof of some Generalized Principal Ideal Theorems
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