论文标题
在Sagemath中非正态仿射半群上的一对单一理想对
Standard pairs of monomial ideals over non-normal affine semigroups in SageMath
论文作者
论文摘要
我们提出了stdpairs.spyx，这是一个sagemath库，用于计算尖（非正常）仿射环环上的单一理想的标准对。此外，stdpairs.spyx提供了相关的素数理想，相应的倍增性以及单一理想的不可减至的不可减至的主要分解。该库在多项式环上的MacAulay2上的标准底函数上扩展，并基于Arxiv的算法：2005.10968V2 [Math.ac]。我们还提供了允许该库的输出与Macaulay2和SageMath的范围兼容的方法。
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.
