@misc{10498/33967,
year = {2017},
url = {http://hdl.handle.net/10498/33967},
abstract = {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.},
publisher = {Cambridge University Press},
keywords = {free resolution},
keywords = {Betti number},
keywords = {semigroup algebra},
keywords = {affine semigroup},
keywords = {Apery set},
keywords = {Frobenius problem},
title = {The short resolution of a semigroup Algebra},
doi = {10.1017/S0004972717000612},
author = {Ojeda, Ignacio and Vigneron Tenorio, Alberto},
}