子半群格是可补格的半群（续）  

SEMIGROUPS WITH COMPLEMENTED LATTICE OF SUBSEMIGROUPS(SEQUEL)

作　　者：管延勇[1] 

机构地区：[1]山东建材学院基础部

出　　处：《山东建材学院学报》1994年第1期88-90,104,共4页Journal of Shandong Institute of Building Materials

摘　　要：Ｓｈｅｖｒｉｎ提出了一个公开问题，即子半群格是可补格的半群是否是周期的。本文进一步证明了对逆半群、矩形群及幕等元集是左（右）正规带的Ｅ─右（左）么正正则半群，使公开问题有了肯定的回答。Shevrin posed an open problem in Reference[1]: are semigroups whose lattice of subsemigroups is complemental periodic? In this paper, it is proved that the openproblem has positive answers for inverse semigroups, rectangular groups and E-right(left) unitary regular semigroups with left(right) normal band.

关 键 词：可补格 矩形带 子半群格 半群 

分 类 号：O152.7[理学—数学]