论文标题

几乎对称的好半群

Almost symmetric good semigroups

论文作者

Casabella, Laura, D'Anna, Marco

论文摘要

良好的半群级是$ n^h $的一类子群,其中包括与曲线奇异性及其爆炸相关的环的价值半群,并允许在这些环的特性上研究组合。在本文中,我们给出了几乎对称的$ n^h $的对称良好的子群,扩展了数值半群理论和一维环理论的已知结果,我们应用了这些结果来获得几乎戈伦斯坦一维分析的新结果。

The class of good semigroups is a class of subsemigroups of $N^h$, that includes the value semigroups of rings associated to curve singularities and their blowups, and allows to study combinatorically the properties of these rings. In this paper we give a characterization of almost symmetric good subsemigroups of $N^h$, extending known results in numerical semigroup theory and in one-dimensional ring theory, and we apply these results to obtain new results on almost Gorenstein one-dimensional analytically unramified rings.

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