论文标题
望远镜数值半群族的贝蒂元素和链链型度
Betti elements and catenary degree of telescopic numerical semigroup families
论文作者
论文摘要
链轴度是一个不变程度，可测量数值半群中元素的因素化之间的距离。通常，作为其贝蒂元素之一的链纳型度，数值半群的元素的所有可能的链链级。在这项研究中，发现并制定了一些具有嵌入尺寸的伸缩性数值半群族的贝蒂元素。然后，在这些公式的帮助下，获得了这些家族的frobenius数量和属。此外，在这些半群的贝蒂元素的帮助下，发现了伸缩性数值半群的链条程度
The catenary degree is an invariant that measures the distance between factorizations of elements within a numerical semigroup. In general, all possible catenary degrees of the elements of the numerical semigroups occur as the catenary degree of one of its Betti elements. In this study, Betti elements of some telescopic numerical semigroup families with embedding dimension three were found and formulated. Then, with the help of these formulas, Frobenius numbers and genus of these families were obtained. Also, the catenary degrees of telescopic numerical semigroups were found with the help of factorizations of Betti elements of these semigroups
