Frobenius restricted varieties in numerical semigroups
Group Theory
2018-12-04 v2
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.
Cite
@article{arxiv.1605.03778,
title = {Frobenius restricted varieties in numerical semigroups},
author = {Aureliano M. Robles-Pérez and José Carlos Rosales},
journal= {arXiv preprint arXiv:1605.03778},
year = {2018}
}
Comments
22 pages