RT info:eu-repo/semantics/article
T1 The short resolution of a semigroup algebra
A1 Ojeda, Ignacio
A1 Vigneron Tenorio, Alberto
K1 Free resolutions
K1 Resoluciones libres
K1 Betti number
K1 Número de Betti
K1 Affine semigroups
K1 Semigrupos afines
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://uvadoc.uva.es/handle/10324/40726
UL http://uvadoc.uva.es/handle/10324/40726
LA eng
NO Bulletin of the Australian Mathematical Society, 2017, vol. 96, n. 3. p. 400-411
NO Producción Científica
DS UVaDOC
RD 24-abr-2024