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arXiv · 1605.03778

Frobenius restricted varieties in numerical semigroups

Aureliano M. Robles-Pérez·José Carlos Rosales
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Abstract

The common behaviour of many families of numerical semigroups led up to defining, firstly, the Frobenius varieties and, secondly, the (Frobenius) pseudo-varieties. However, some interesting families are still out of these definitions. To overcome this situation, here we introduce the concept of restricted Frobenius variety (or R-variety). We will generalize most of the results for varieties and pseudo-varieties to R-varieties. In particular, we will study the tree structure that arise within them.

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Aureliano M. Robles-Pérez, José Carlos Rosales. 2016-05-12. Frobenius restricted varieties in numerical semigroups. https://doi.org/10.1007/s00233-018-9949-y

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