保序且保距严格部分一一变换半群  

The Semigroup of all Order-preserving and Distance-preserving Strictly Partial One-one Transformations

作　　者：龙伟锋 涂晨 LONG Wei-feng;TU Chen(School of Mathematical Sciences,Guizhou Nonnal University Guiyang 550001,China)

机构地区：[1]贵州师范大学数学科学学院,贵阳556011

出　　处：《嘉应学院学报》2021年第6期6-9,共4页Journal of Jiaying University

基　　金：国家自然科学基金资助项目(11461014)。

摘　　要：设[n]={1,2,···,n}为自然序集,ODI_(n)为所有保序且保距严格部分一一变换所构成的半群.证明了ODI_(n)的秩为n,并得到了ODI_(n)的极大逆子半群的完全分类.Let [n]={1,2,···,n} be a natural order set, and denote by ODIn the semigroup consisting of all order-preserving and distance-preserving strictly partial one-one transformations. It is shown that the rank of ODI_(n)is n and obtained classification of maximal inverse subsemigroup of ODI_(n)completely.

关 键 词：保序 保距 秩 极大逆子半群 

分 类 号：O152.7[理学—数学]