论文标题
ARF数值半群的不可约性
Irreducibility of Arf Numerical Semigroups
论文作者
论文摘要
在本文中，我们介绍了ARF数值半群的ARF特殊差距的概念，以及用于计算给定ARF数值半群的所有ARF特殊差距的算法。我们介绍了ARF-摩擦数值半群的概念，并得出了所有这些概念的结论。我们为Frobenius品种和各种ARF数值半群的家族提供了一个发电机系统。此外，我们获得了给定ARF数值半群的发电机的最小ARF系统。
In this paper, we introduce the concept of Arf special gaps of an Arf numerical semigroup, and an algorithm for computing all Arf special gaps of a given Arf numerical semigroup. We introduce the concept of Arf-irreducible numerical semigroups, and draw conclusions about all these concepts. We give a system of generators for the Frobenius variety and variety of families of Arf numerical semigroups. Moreover, we obtain the minimal Arf system of generators of a given Arf numerical semigroup.
