涂有奇数元素的数值半群

arXiv - MATH - Commutative Algebra Pub Date : 2024-07-24 DOI:arxiv-2407.17153

J. C. Rosales, M. B. Branco, M. A. Traesel

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引用次数: 0

摘要

如果$S$中的所有奇数元素$x$都是奇数元素，那么一个数值半群$S$就是奇数元素的涂布半群（Coe-semigroup）。在本文中，我们将研究这类数值半群。特别是，我们对这类数值半群的弗罗贝尼斯数、性别和嵌入维数的研究很感兴趣。

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Numerical semigroups of coated odd elements

A numerical semigroup $S$ is coated with odd elements (Coe-semigroup), if $\left\{x-1, x+1\right\}\subseteq S$ for all odd element $x$ in $S$. In this note, we will study this kind of numerical semigroups. In particular, we are interested in the study of the Frobenius number, gender and embedding dimension of a numerical semigroup of this type.

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arXiv - MATH - Commutative Algebra

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