广义数值半群的角元
The corner element of generalized numerical semigroups
摘要：
本文引入了广义数值半群的角元的概念，在某种意义上将数值半群的导子思想推广到高维广义数值半群.给出了这个新概念的性质及其与文献中已有不变量的关系，并给出了一个计算所有具有固定角的广义数值半群的算法。此外，我们还给出了角元固定的广义数值半群个数的上下界上界。
英文摘要：
In this paper we introduce the concept of corner element of a generalized numerical semigroup, which extends in a sense the idea of conductor of a numerical semigroup to generalized numerical semigroups in higher dimensions. We present properties of this new notion and its relations with existing invariants in the literature, and provide an algorithm to compute all the generalized numerical semigroups with fixed corner. Besides that, we provide lower and upper bounds on the number of generalized numerical semigroups having a fixed corner element.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
