A semigroup defining the Gr\"obner degeneration of a toric ideal
Commutative Algebra
2023-04-07 v3 Combinatorics
Abstract
We give an explicit set of generators for the semigroup of the Gr\"obner degeneration of a toric ideal. This set of generators is used to study algebraic properties of the semigroup it generates: approximation of semigroups, non-preservation of saturation, Betti elements, uniqueness of presentations, and M\"obius functions.
Keywords
Cite
@article{arxiv.2201.04220,
title = {A semigroup defining the Gr\"obner degeneration of a toric ideal},
author = {Hernán de Alba Casillas and Daniel Duarte and Raúl Vargas Antuna},
journal= {arXiv preprint arXiv:2201.04220},
year = {2023}
}