关于B~＊-纯序半群  

On B~＊-Pure Ordered Semigroups

作　　者：陈瑞静[1] 许新斋[1] 田红岩[1] 

机构地区：[1]山东师范大学数学科学学院,山东济南250014

出　　处：《山东科学》2010年第6期16-19,共4页Shandong Science

摘　　要：引进了B*-纯序半群的概念,并研究了B*-纯序半群的性质及有关B*-纯序半群上的一些等价条件,最后得出了B*-纯序半群与双单序半群的半格之间的关系.推广了B*-纯半群的性质和在正规和正则的条件下,一个半群是序群的半格的一些结论.We present the concept of B＊-pure ordered semigroups and investigate its properties and some equivalent conditions.We eventually derive the relationship between the semilattice of t-simple ordered semigroups and that of the B＊-pure ordered semigroups.We therefore generalize the property of B＊-pure semigroups and draw a conclusion that a semigroup is the semilattice of ordered groups on the condition that a semigroup is normal and regular.

关 键 词：B＊-纯序半群 正规 正则 

分 类 号：O152.7[理学—数学]