Standard pairs of monomial ideals over non-normal affine semigroups in SageMath
Commutative Algebra
2022-03-09 v1
Abstract
We present stdPairs.spyx, a SageMath library to compute standard pairs of a monomial ideal over a pointed (non-normal) affine semigroup ring. Moreover, stdPairs.spyx provides the associated prime ideals, the corresponding multiplicities, and an irredundant irreducible primary decomposition of a monomial ideal. The library expands on the standardPairs function on Macaulay2 over polynomial rings, and is based on algorithms from arXiv:2005.10968v2 [math.AC]. We also provide methods that allow the outputs from this library to be compatible with the Normaliz package of Macaulay2 and SageMath.
Keywords
Cite
@article{arxiv.2010.08903,
title = {Standard pairs of monomial ideals over non-normal affine semigroups in SageMath},
author = {Byeongsu Yu},
journal= {arXiv preprint arXiv:2010.08903},
year = {2022}
}
Comments
12 pages, no figures. This library can be obtained via https://github.com/byeongsuyu/StdPairs