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.
出处
《山东科学》
CAS
2010年第6期16-19,共4页
Shandong Science
关键词
B＊-纯序半群
正规
正则
B＊-pure ordered semigroups
normal
regularity
