Frobenius pseudo-varieties in numerical semigroups

被引：17

作者：

Robles-Perez, Aureliano M. ^{[1
]}

Carlos Rosales, Jose ^{[2
]}

机构：

[1] Univ Granada, Dept Matemat Aplicada, E-18071 Granada, Spain

[2] Univ Granada, Dept Algebra, E-18071 Granada, Spain

来源：

ANNALI DI MATEMATICA PURA ED APPLICATA | 2015年 / 194卷 / 01期

关键词：

Pseudo-varieties; Frobenius varieties; Monoids; Numerical semigroups; Tree associated (to a pseudo-variety);

D O I：

10.1007/s10231-013-0375-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The common behavior of several families of numerical semigroups led up to defining the Frobenius varieties. However, some interesting families were out of this definition. In order to overcome this situation, in this paper, we introduce the concept of (Frobenius) pseudo-varieties. Moreover, we will show that most of the results for varieties can be generalized to pseudo-varieties.

引用

页码：275 / 287

页数：13