ω-Extension of Bicyclic Semigroup  

双循环半群的ω扩张(英文)

作　　者：朱雯 詹亮 

机构地区：[1]School of Mathematics and Computer Engineering,Xihua University

出　　处：《Chinese Quarterly Journal of Mathematics》2009年第3期415-419,共5页数学季刊（英文版）

基　　金：Supported by the NNSF of China(60473030;60773035)

摘　　要：In this paper, we discussed w-extension of bicyclic semigroups. Two types of this extension are proposed. In §2 we discussed strong semilattice extension and the structure of the extension is well presented. In §3 we discussed another order extension. We proved that congruence lattice of this extension semigroups is union set of two sublattice. One is the group congruence semilattice, the other is the pure idempotent congruence semilattice.

关 键 词：bicyclic semigroup strong semilatlice group congruence pure idempotent congruence 

分 类 号：O152.7[理学—数学] TQ454.27[理学—基础数学]