Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6414339 | Journal of Algebra | 2016 | 13 Pages |
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
A. Kohlhaas,