RT journal article
T1 The short resolution of a semigroup Algebra
A1 Ojeda, Ignacio
A1 Vigneron Tenorio, Alberto
A2 Matemáticas
K1 free resolution
K1 Betti number
K1 semigroup algebra
K1 affine semigroup
K1 Apery set
K1 Frobenius problem
AB This work generalises the short resolution given by Pisón Casares ['The short resolution of a lattice ideal', Proc. Amer. Math. Soc. 131(4) (2003), 1081-1091] to any affine semigroup. We give a characterisation of Apéry sets which provides a simple way to compute Apéry sets of affine semigroups and Frobenius numbers of numerical semigroups. We also exhibit a new characterisation of the Cohen-Macaulay property for simplicial affine semigroups.
PB Cambridge University Press
SN 1755-1633
YR 2017
FD 2017
LK http://hdl.handle.net/10498/33967
UL http://hdl.handle.net/10498/33967
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 11-nov-2026