数值半群上具有给定圈数的格路和半模
Lattice paths with given number of turns and semimodules over numerical semigroups
摘要：
设Γ=<α，β>是一个数值半群.本文考虑了所谓的Γ-半模与从（0，α）到（β，0）的格路之间的几种关系：研究了Γ-半模的同构类以及Γ的间隙集的某些子集，最后研究了Γ-半模的合。特别地，我们计算了对于某个k，与它们的第k个合点同构的Γ-半模的个数。
英文摘要：
Let Γ=<α, β> be a numerical semigroup. In this article we consider several relations between the so-called Γ-semimodules and lattice paths from (0,α) to (β,0): we investigate isomorphism classes of Γ-semimodules as well as certain subsets of the set of gaps of Γ, and finally syzygies of Γ-semimodules. In particular we compute the number of Γ-semimodules which are isomorphic with their k-th syzygy for some k.
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。
