论文标题
数值半群的算术扩展
The arithmetic extensions of a numerical semigroup
论文作者
论文摘要
在本文中，我们介绍了数值半群的扩展的概念。我们提供了数值半群的表征，其扩展都是算术的，我们为计算给定数值半群的整个算术扩展提供了算法。作为副产品，获得了Frobenius数字的新明确公式和按比例模块化半群的属。
In this paper we introduce the notion of extension of a numerical semigroup. We provide a characterization of the numerical semigroups whose extensions are all arithmetic and we give an algorithm for the computation of the whole set of arithmetic extension of a given numerical semigroup. As by-product, new explicit formulas for the Frobenius number and the genus of proportionally modular semigroups are obtained.
