Binomial Ideals and Congruences on $$\mathbb {N}^n$$

DOI10.1007/978-3-319-96827-8_18zbMath1404.13024arXiv2003.03861OpenAlexW2889834266MaRDI QIDQ4613703

Laura Felicia Matusevich, Ignacio Ojeda Martínez de Castilla

Publication date: 24 January 2019

Published in: Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.03861

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10)

Related Items

Numerical semigroups, polyhedra, and posets. III: Minimal presentations and face dimension, Commutative monoids and their corresponding affine \(\Bbbk\)-schemes

Uses Software

• Macaulay2
• Binomials.m2

Cites Work

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• Binomial ideals
• Decompositions of cellular binomial ideals
• Binomial Canonical Decompositions of Binomial Ideals
• Irreducible decomposition of binomial ideals
• Decompositions of binomial ideals