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arXiv · 2209.05411

Almost symmetric good semigroups

Laura Casabella·Marco D'Anna
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Abstract

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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Laura Casabella, Marco D'Anna. 2022-09-12. Almost symmetric good semigroups. https://arxiv.org/abs/2209.05411

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