《山东大学学报(理学版)》 ›› 2024, Vol. 59 ›› Issue (12): 54-59.doi: 10.6040/j.issn.1671-9352.0.2023.141
舒琴,龚何余,赵平*
SHU Qin, GONG Heyu, ZHAO Ping*
摘要： 设Pn是Xn={1,2,…,n}上的部分变换半群。对任意1≤r≤n,令P F(n,r)={α∈Pn:iα=i, ∠i∈dom(α)∩{1,2,…,r}},则P F(n,r)是Pn的子半群。本文将研究半群P F(n,r)的秩, 其中1≤r≤n-1。对于n≥3, 证明了rank(P F(n,r))={2+2r,〓n-r=1,3+2r,〓n-r=2,4+2r,〓n-r≥3。
中图分类号:
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