关于半群的广义Bruck-Reilly扩张

引进了半群的广义 Bruck- Reilly扩张的概念 ,研究了其简单性质 ;给出了半群的广义Bruck- Reilly扩张是π-逆半群的充要条件 ;刻画了一个半群 (逆半群 )Τ的广义 Bruck- Reilly扩张为单 (或半单 )半群时半群 (逆半群 ) T的性质 ,证明了由同态θ及幂等元 e0 所确定的半群 T的广义Bruck- Reilly扩张 BR(T,e0 ,θ)是单半群当且仅当对任意 a,b∈ T,存在 x ,y∈ T1以及 k∈ N使得a =x(bθk)

纯正Bruck半群的E-酉覆盖

本文给出了纯正Ｂｒｕｃｋ半群的Ｅ－酉覆盖结构，这推广［１。

A Class of Regular Simple ω2-semigroups-Ⅱ

In this paper, we study regular simple ω2-semigroups in which D｜Es = Wd by the generalized Bruck-Reilly extension and obtain its structure theorem.

A Class of ＊-simple Type A ω~2 -semigroups （Ⅰ）

In this paper, we study ＊-simple type A ω2 -semigroups in which D＊= D and D＊｜ES = Md by the generalized Bruck-Reilly extension and obtain its structure theorem. We also obtain a criterion for isomorphisms of two such semigroups.

The Isomorphism Theorem of Regular Bisimple ω2-semigroups

In this paper we study the isomorphisms of two regular bisimple ω2- semigroups and obtain a criterion for two such semigroups to be isomorphic.

正则双单ω~2-半群

本文研究了幂等元的ω^2-链及广义Bruck-Reilly扩张.利用扩张的方法,获得了正则双单ω^2-半群的结构定理.

具有ω_(d,d′)-型D关系的正则单ω^(2)-半群

为得到正则单ω^(2)-半群构造的刻画,研究了具有ω_(d,d′)-型D关系的正则单ω^(2)-半群:从群的长度为(d,d′)的ω-链及其到群的同态出发,借助Bruck-Reilly扩张,获得了具有ω_(d,d′)-型D关系的正则单ω^(2)-半群;证明了任一个具有ω_(d,d′)-型D关系的正则单ω^(2)-半群都可以用Bruck-Reilly扩张构造出来,得到了这类半群的结构定理。

GrSbner-Shirshov Bases of Some Semigroup Constructions

In this paper, we obtain （non-commutative） GrSbner-Shirshov bases for rect- angular bands, small extensions of semigroups and Bruck-Reilly extensions of monoids in terms of the general product.

一类正则单ω~2-半群-Ⅰ

本文利用Bruck—Reilly扩张研究了满足条件D│Es=Md的正则单ω2-半群，获得了这类半群的结构定理．同时得到了这类半群的同构定理．