StdPairs
swMATH ID:  42042 
Software Authors:  Yu, Byeongsu 
Description:  Standard pairs of monomial ideals over nonnormal affine semigroups in SageMath. We present StdPairs, a SageMath library to compute standard pairs of a monomial ideal over a pointed (nonnormal) affine semigroup ring. Moreover, StdPairs 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 Matusevich and Yu (2020). We also provide methods that allow the outputs from this library to be compatible with the Normaliz package of Macaulay2 and SageMath 
Homepage:  https://msp.org/jsag/2021/111/jsagv11n1p13s.pdf 
Dependencies:  SageMath 
Keywords:  affine semigroups; standard pairs; monomial ideals; semigroup rings 
Related Software:  SageMath; Macaulay2; standardPairs; Normaliz; Polyhedra; Binomials.m2; 4ti2 
Referenced in:  2 Publications 
Standard Articles
1 Publication describing the Software, including 1 Publication in zbMATH  Year 

Standard pairs of monomial ideals over nonnormal affine semigroups in SageMath. Zbl 1485.13053 Yu, Byeongsu 
2021

Referenced by 2 Authors
2  Yu, Byeongsu 
1  Matusevich, Laura Felicia 
Referenced in 2 Serials
1  Journal of Pure and Applied Algebra 
1  The Journal of Software for Algebra and Geometry 
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