方向保序且保距部分一一变换半群的秩  

On the Rank of the Semigroup of All Orientation-preserving and Distance-preserving Partial One-one Transformations

作　　者：龙伟芳[1] 叶绪国[1] 龙伟锋[2] LONG Wei-fang;YE Xu-guo;LONG Wei-feng(Kaili University,Kaili,Guizhou,556011,China;Guizhou Normal University,Guiyang,Guizhou,550001,China)

机构地区：[1]凯里学院 [2]贵州师范大学

出　　处：《凯里学院学报》2018年第6期11-13,共3页Journal of Kaili University

基　　金：凯里学院院级重点课题(Z1701;Z1505)

摘　　要：设[n]={1,2,…,n}为有限全序集合,令OPDI_n为所有方向保序且保距部分一一变换所构成的半群.证明了OPDI_n的秩为2,其理想V_(n-1)~Δ的秩为n.Let[n]={1,2,…,n}is a totally ordered finite set.The semigroup denote by OPDI n consisting of all orientation-preserving and distance-preserving partial one-one transformations.It is shown that the rank of OPDI n is 2 and the rank of its subsemigroups Vn-1^Δis n.

关 键 词：方向保序 保距 秩 

分 类 号：G4[文化科学—教育学]