Semantic Scholar Open Access 2020 4 sitasi

Standard pairs of monomial ideals over nonnormal affine semigroups in SageMath

Byeongsu Yu

Lihat Sumber DOI

Abstrak

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.

Topik & Kata Kunci

Mathematics

Penulis (1)

Byeongsu Yu

Format Sitasi

APA MLA BibTeX

Yu, B. (2020). Standard pairs of monomial ideals over nonnormal affine semigroups in SageMath. https://doi.org/10.2140/jsag.2021.11.129

Akses Cepat

Lihat di Sumber doi.org/10.2140/jsag.2021.11.129

Informasi Jurnal

Tahun Terbit: 2020
Bahasa: en
Total Sitasi: 4×
Sumber Database: Semantic Scholar
DOI: 10.2140/jsag.2021.11.129
Akses: Open Access ✓