The tree of good semigroups in $\mathbb{N}^2$ and a generalization of the Wilf conjecture
Commutative Algebra
2020-06-02 v2
Abstract
In this work, we study good semigroups of introducing the definition of length and genus for these objects. We show how to count the local good semigroup with a fixed genus. Furthermore, we study the relationships of these concepts with other ones previously defined in the case of good semigroups with two branches.
Cite
@article{arxiv.1907.01315,
title = {The tree of good semigroups in $\mathbb{N}^2$ and a generalization of the Wilf conjecture},
author = {Nicola Maugeri and Giuseppe Zito},
journal= {arXiv preprint arXiv:1907.01315},
year = {2020}
}
Comments
30 pages, 4 figures, 1 table