子半群格是I－格的半群  

Semigroups with I-lattices of subsemigroups

作　　者：田振际[1] 

机构地区：[1]兰州大学数学系

出　　处：《兰州铁道学院学报》1996年第3期91-94,共4页Journal of Lanzhou Railway University

摘　　要：研究了子半群格是Ｉ－格的半群的性质．证明了：一个半群的子半群格是Ｉ－格，当且仅当它是一些周期幂幺半群的强带，而每个周期幂幺半群是借助于Ｕ－诣零半群所作的Ｉ－群的理想扩张．The article cioals with character of semigroups with I-lattices of subsemigroups.It proves that a lattice of subsemigroups of a semigroup is I-lattice, if and only if it is a strong band of some period unipotent semigroups. and every period unipotent semigroup is an ideal extension of a I-group by a U-nilsemigroup.

关 键 词：I-格 半群 群论 子半群格 

分 类 号：O152.7[理学—数学]