A semigroup defining the Gröbner degeneration of a toric ideal

Published 11 Jan 2022 in math.AC and math.CO | (2201.04220v3)

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.

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