%0 Journal Article 
%A Ojeda, Ignacio
%A Vigneron Tenorio, Alberto
%T The short resolution of a semigroup Algebra
%D 2017
%@ 1755-1633

%U http://hdl.handle.net/10498/33967
%X 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.
%K free resolution
%K Betti number
%K semigroup algebra
%K affine semigroup
%K Apery set
%K Frobenius problem
%~ Universidad de Cádiz