左正则Duo序半群的半格分解  

On the decomposition of left regular Duo ordered semigroups

作　　者：施智杰[1,2] 

机构地区：[1]西北大学数学系,陕西西安710127 [2]山西大同大学数学与计算机科学学院,山西大同037009

出　　处：《高师理科学刊》2010年第3期50-53,共4页Journal of Science of Teachers＇College and University

摘　　要：给出了序半群的一些基本性质,利用一系列等价命题对左正则Duo序半群进行了刻画,证明左正则Duo序半群是完全左正则左单且右单序半群半格.Some fundamental properties of the ordered semigroups was provided,the characterizations of left-regular and Duo ordered semigroups was given out by a series of equivalence propositions.Proved that the left-regular and Duo ordered semigroups are in accordance with a semi-lattice of left-regular and left simple and right simple sub-semigroups.

关 键 词：左正则序半群 Duo序半群 理想 左单(右单)序半群 

分 类 号：O152.7[理学—数学]