论文标题
广义数字半群的角元素
The corner element of generalized numerical semigroups
论文作者
论文摘要
在本文中，我们介绍了广义数值半群的角元素的概念，该概念在某种意义上扩展了数值半群的导体的概念，以在较高维度的广义数值半群中扩展。我们介绍了这种新概念的属性及其与文献中现有的不变性的关系，并提供了一种算法来计算所有具有固定角的通用数值半群。除此之外，我们在具有固定角元件的广义数值半群的数量上提供下限和上限。
In this paper we introduce the concept of corner element of a generalized numerical semigroup, which extends in a sense the idea of conductor of a numerical semigroup to generalized numerical semigroups in higher dimensions. We present properties of this new notion and its relations with existing invariants in the literature, and provide an algorithm to compute all the generalized numerical semigroups with fixed corner. Besides that, we provide lower and upper bounds on the number of generalized numerical semigroups having a fixed corner element.
