IE＊（X）中E类保序变换半群的Green关系  

The Green's Relations of Order-preserving in Classes for Transformations Semigroups

作　　者：龙伟锋[1] 陈先军[2] 

机构地区：[1]贵州师范大学数学与计算机科学学院,贵阳550001 [2]嘉应学院学报编辑部,广东梅州514015

出　　处：《嘉应学院学报》2013年第8期15-17,共3页Journal of Jiaying University

基　　金：贵州省科学技术基金(黔科合J字LkS[2011]15)

摘　　要：设X为有限集,E为X上的等价关系.I X为X上的对称逆半群,令I E*(X)={f∈I X:(x,y)∈E(f(x),f(y)∈E)}.探讨I E*(X)的一类全新子半群:I E*(X)中E类保序变换半群,研究了它的Green关系.Let the symmetric inverse semigroup be on the finite set , and be an equivalence on and define. A new family of subsemigroups has been provided in this paper, namely order - preserving in classes for transformations semigroups. This paper has discussed the Green＇ s equivalences and rank of order - preserving in classes for trans- formations semigroups.

关 键 词：半群 保序变换 保等价关系 秩 

分 类 号：O152.7[理学—数学]