半群代数的短消解
环与代数
2017-02-28 v2
摘要
本工作将 Proc. Amer. Math. Soc. \textbf{131}, 4, (2003), 1081--1091 中给出的短消解推广至任意仿射半群。此外，给出了 Ap\'{e}ry 集的刻画。该刻画能够以简单的方式计算仿射半群的 Ap\'{e}ry 集和数值半群的 Frobenius 数。我们还给出了单纯仿射半群 Cohen-Macaulay 性质的新刻画。
引用
@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}
}
备注
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