THE SHORT RESOLUTION OF A SEMIGROUP ALGEBRA

DOI10.1017/S0004972717000612zbMath1373.13015arXiv1512.00345OpenAlexW2963250880MaRDI QIDQ4589158

Alberto Vigneron-Tenorio, Ignacio Ojeda Martínez de Castilla

Publication date: 7 November 2017

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.00345

zbMATH Keywords

free resolutionFrobenius problemBetti numbersemigroup algebraApéry setaffine semigroup

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Syzygies, resolutions, complexes and commutative rings (13D02)

Related Items

CRITICAL BINOMIAL IDEALS OF NORTHCOTT TYPE ⋮ Betti sequence of the projective closure of affine monomial curves ⋮ On the algebraic invariants of certain affine semigroup rings ⋮ A ``pseudo-polynomial algorithm for the Frobenius number and Gröbner basis ⋮ Type and conductor of simplicial affine semigroups ⋮ Simplicial affine semigroups with monomial minimal reduction ideals

Uses Software

• Frobby

Cites Work

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• The short resolution of a lattice ideal