The Core of 0-Dimensional Monomial Ideals

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The 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.
22 pages; corrections made in revised file

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Commutative Algebra, Algebraic Geometry, 13B21; 13A20; 13B22; 13C40

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http://salesiana.dossiersoluciones.com/handle/123456789/116396

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0609152
 http://arxiv.org/abs/math/0609152

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arXiv