摘要
证明了若正统半群的子半群格是可补格,则此正统半群是带,亦即证明了对其幂等元集是带的正则半群而言,Shevrin的open问题(参考文献[1],T61)有肯定的回答。
That the orthodox semigroup with complemented lattice of subsemigroups is a band is proved,thus the open problem posed by L.N.Shevrin in reference [1] has an affirmative answer for orthodox semigroups.
出处
《山东建材学院学报》
1995年第1期87-89,共3页
Journal of Shandong Institute of Building Materials
关键词
带
正统半群
同余关系
可补格
band
orthodox semigroup
comgruence relation complemental lattice