Frobenius pseudo-varieties in numerical semigroups

被引：0

作者：

Aureliano M. Robles-Pérez

José Carlos Rosales

机构：

[1] Universidad de Granada,Departamento de Matemática Aplicada

[2] Universidad de Granada,Departamento de Álgebra

来源：

Annali di Matematica Pura ed Applicata (1923 -) | 2015年 / 194卷

关键词：

Pseudo-varieties; Frobenius varieties; Monoids ; Numerical semigroups; Tree associated (to a pseudo-variety); 20M14;

D O I：

暂无

中图分类号：

学科分类号：

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：12

共 5 条

[1]

Rosales JC(2008)Families of numerical semigroups closed under finite intersections and for the Frobenius number Houst. J. Math. 34 339-348

[2]

Rosales JC(2003)Numerical semigroups with maximal embedding dimension Int. J. Commut. Rings 2 47-53

[3]

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