The short resolution of a semigroup algebra
Rings and Algebras
2017-02-28 v2
Abstract
This work generalizes the short resolution given in Proc. Amer. Math. Soc. \textbf{131}, 4, (2003), 1081--1091, to any affine semigroup. Moreover, a characterization of Ap\'{e}ry sets is given. This characterization lets compute Ap\'{e}ry 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.
Keywords
Cite
@article{arxiv.1512.00345,
title = {The short resolution of a semigroup algebra},
author = {Ignacio Ojeda and Alberto Vigneron-Tenorio},
journal= {arXiv preprint arXiv:1512.00345},
year = {2017}
}
Comments
12 pages. In this new version, some proofs have been detailed, the references on the computatation of the Frobenius number of a numerical semigroup have been updated and some typpos have been corrected