摘要
研究了逆半群在自然偏序下的最小群同余结构,刻画了逆牛群的R一类的半格,证明了满足极小条件min_R的逆半群S关于最小群同余的商S/σ同构于S的一个一类。
The minimum group congruence σ and the natural partial order rela- tion≤of inverse semigroup S are studied in this paper,the lower reaches Ea of an element a is described,and the semilattice of R-classes is disc- ussed.It is shown that for inverse semigroup S satisfying the minimal condition min_R S/σ is isomorphic to a -class of S.
出处
《西安工业学院学报》
1991年第3期1-8,共8页
Journal of Xi'an Institute of Technology
关键词
半群
半格
最小群同余
逆半群
semigroup
semilauice
leasst group congruence
rnverse
semigroup