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arXiv · 2407.17153

Numerical semigroups of coated odd elements

J. C. Rosales·M. B. Branco·M. A. Traesel
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Abstract

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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J. C. Rosales, M. B. Branco, M. A. Traesel. 2024-07-24. Numerical semigroups of coated odd elements. https://arxiv.org/abs/2407.17153

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