论文标题

具有两个发电机的数值半群的超对称间隙

Supersymmetric gaps of a numerical semigroup with two generators

论文作者

Almirón, Patricio, Moyano-Fernández, Julio José

论文摘要

在本文中,我们介绍了带有两个发电机的数值半群的超对称和自对称间隙的新概念。这些概念基于半群的某些对称性,相对于其WILF数字。我们证明,超对称和自对称差距完全决定了半群,我们将该集合与半群的基本间隙进行了比较。

In this paper we introduce the new concepts of supersymmetric and self-symmetric gaps of a numerical semigroup with two generators. Those concepts are based on certain symmetries of the gaps of the semigroup with respect to their Wilf number. We prove that the set of supersymmetric and self-symmetric gaps completely determines the semigroup and we compare this set with the fundamental gaps of the semigroup.

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