A Class of Numerical Semigroups Defined by Kunz and Waldi
arxiv(2024)
摘要
In this paper, we explore a class of numerical semigroups initiated by Kunz
and Waldi containing two coprime numbers p < q, which we call KW semigroups.
We characterize KW numerical semigroups by their principal matrices. We present
a necessary and sufficient criterion for a matrix to be the principal matrix of
a KW semigroup. An explicit description of the minimal resolutions of numerical
semigroups in the same class with small embedding dimensions 3 and 4 is given.
We give a generalization of this notion to three dimensions using lattice paths
under a plane and present some preliminary results and questions.
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