The Core of 0-Dimensional Monomial Ideals

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dc.creatorPolini, Claudia
dc.creatorUlrich, Bernd
dc.creatorVitulli, Marie A.
dc.date2006-09-05
dc.date2006-12-01
dc.date.accessioned2026-07-07T07:24:33Z
dc.date.available2026-07-07T07:24:33Z
dc.descriptionThe core of an ideal is the intersection of all its reductions. We describe the core of a zero-dimensional monomial ideal I as the largest monomial ideal contained in a general reduction of I. This provides a new interpretation of the core in the monomial case as well as an efficient algorithm for computing it. We relate the core to adjoints and first coefficient ideals, and in dimension two and three we give explicit formulas.
dc.description22 pages; corrections made in revised file
dc.identifierhttps://arxiv.org/abs/math/0609152
dc.identifierhttp://arxiv.org/abs/math/0609152
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/116396
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.subject13B21; 13A20; 13B22; 13C40
dc.titleThe Core of 0-Dimensional Monomial Ideals
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