论文标题
在某些数值半群变换上
On some numerical semigroup transforms
论文作者
论文摘要
在本文中，我们介绍了一个特定的Semigroup变换$ \ MATHCAL {A} $，该{A} $修复了Wilf猜想中涉及的不变性，但嵌入式维度除外。它还允许一个人安排一组植根的树木中的一组非普通和不可约的数字半群。我们还研究了Bras-Amorós引入的另一个具有类似特征的转换，并进行了比较。特别是，我们研究了这种变换的作用下嵌入维度的行为，从而为Wilf的猜想带来了一些后果。
In this paper we introduce a particular semigroup transform $\mathcal{A}$ that fixes the invariants involved in Wilf's conjecture, except the embedding dimension. It also allows one to arrange the set of not ordinary and not irreducible numerical semigroups in a family of rooted trees. We study also another transform, having similar features, that has been introduced by Bras-Amorós, and we make a comparison of them. In particular we study the behaviour of the embedding dimension under the action of such transforms, providing some consequences concerning Wilf's conjecture.
