Symmetry in the core of a zero-dimensional monomial ideal

JOURNAL OF ALGEBRA

卷:453

Article

关键词: Commutative algebra;    Cores;    Monomial ideals;    Reductions;    Coefficient ideals;   

DOI  :  10.1016/j.jalgebra.2016.01.018

来源: Elsevier

【 摘 要 】

The core of an ideal is the intersection of all of its reductions. We have shown that under certain conditions, the exponent set of the core of a zero-dimensional monomial ideal exhibits translational symmetry. In addition, in two dimensions, the core of a monomial ideal is often the core of a reduction number one ideal. We provide an algorithm for obtaining that reduction number one ideal and, subsequently, its core. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

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