2015/12/01 by Ojeda, Ignacio, Vigneron-Tenorio, Alberto
#13D02 #14M25 (Primary) 13P10 #68W30 (Secondary) #FOS: Mathematics #Rings and Algebras (math.RA)
paper · doi:10.48550/arxiv.1512.00345
This work generalizes the short resolution given in Proc. Amer. Math. Soc. 131, 4, (2003), 1081--1091, to any affine semigroup. Moreover, a characterization of Apéry sets is given. This characterization lets compute Apéry sets of affine semigroups and the Frobenius number of a numerical semigroup in a simple way. We also exhibit a new characterization of the Cohen-Macaulay property for simplicial affine semigroups.