论文标题
在某些类别的广义数字半群上
On some classes of generalized numerical semigroups
论文作者
论文摘要
广义的数值半群是$ \ mathbb {n}^d $的亚monoid，其中有有限的补充。在这项工作中，我们研究了三种不同类别的广义数值半群的某些特性。特别是，我们通过引入涉及半群类型的数值半群中Wilf的猜想来概括WILF的猜想，以满足Wilf猜想的概括。对于其他两个类别，也获得了WILF广义猜想的部分结果，并提供了一些开放问题。
A generalized numerical semigroup is a submonoid of $\mathbb{N}^d$ with finite complement in it. In this work we study some properties of three different classes of generalized numerical semigroups. In particular, we prove that the first class satisfies a generalization of Wilf's conjecture, by introducing a generalization of a well-known sufficient condition for Wilf's conjecture in numerical semigroups, that involves the type of the semigroup. Partial results for Wilf's generalized conjecture are obtained also for the other two classes, and some open questions are provided.
