Article ID Journal Published Year Pages File Type
6414339 Journal of Algebra 2016 13 Pages PDF
Abstract

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.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Authors
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