Journal of Changshu Institute of Technology2024，Vol.38Issue(2)：114-120,124,8.
半群CSPn,k的秩和k方幂等元秩
On the Rank and the k-Idempotent Rank of the Semigroup CSPn,k
摘要
Abstract
Let Pn and Sn be partial transformation semigroup and symmetry group on a finite chain Xn , respectively, if natural number n≥3. Let (Ck =〈gk〉) be a k-locally cyclic group on Xn , and let (CSPn,k=Ck∪(Pn\Sn)), if for any positive integer k such that 3≤k ≤n. It is easy to prove that CSPn,k is a subsemigroup of the partial transformation semigroup Pn. Through an analysis of the Green's relation and the idempotent of the semigroup CSPn,k ,the minimal generating set and the minimal generating set of k-idempotent are obtained. Further, the rank and the k-idempotent rank of the semigroup CSPn,k is further confirmed.关键词
部分变换半群/k-局部循环群/(k方幂等元)极小生成集/(k方幂等元)秩Key words
partial transformation semigroup/k-locally cyclic group/(k-idempotent) minimal generating set/(k-idempotent) rank分类
数理科学引用本文复制引用
龙如兰,张梁松,罗永贵..半群CSPn,k的秩和k方幂等元秩[J].Journal of Changshu Institute of Technology,2024,38(2):114-120,124,8.基金项目
贵州师范大学学术基金项目"F—型(变换)半群及子半群的若干研究"(黔师新苗[2021]B08号)(0522040/11904) （变换）
