Further, we findalso that groups in Saito's results may be replaced by right groups; secondly we mainly investigatethe semidirect products and wreath products of P-regular semigroups; Finally we shallcharacterize the sandwich matrice of completely simple P-regular semigroups, and investigate thestructure of P-regular semigroup whose C-set satisfies a permutation identity.
在这一章中，首先指出Saito在研究半群的半直积和圈积时，对S的限制是不必要的，证明了Saito结果中群可换为右群；其次，研究P—正则半群的半直积和圈积；最后刻划了完全单P—正则半群的夹心阵和C—集满足置换恒等式的P—正则半群的结构。
In this paper, the ideals, bi-ideals and dual-principal bi-ideals of rectangular band, completely simple semigroup, semilattice, Clifford semigroup, matrix unit semigroup, bicyclic semigroup are depicted.
本文给出了矩形带，完全单半群，半格，clifford半群，矩阵单位半群的理想，双理想与双主双理想的刻画。
It is discussed that the relation between the finiteness of a completely 0-simple semigroup and chain conditions on the lattice of its congruences from the view of its left (right) ideal when it has not any infinite subgroups.
从左（右）理想的角度，讨论了完全0－单半群在它不含无限于群时，它的有限性与其同余格的链条件之间的关系。
Firstly, we obtain some equivalent characterization for Cayley graphs of completely simple semigroup which is vertex-transitive.
一个图称为点传递图，如果它的全自同构群在它的顶点集合上作用传递。
This paper deals with its simple character and shows that the generalized Bruck Reilly extension of semigroup is a sufficient condition for π inverse semigroup.
给出了半群的广义Bruck-Reilly扩张是π-逆半群的充要条件；
The integral matrix representation of the endomorphism monoid of a graph has been given by the method of the algebraic topology, some simple properties of the integral matrix semigroup have been discussed.
通过代数拓扑的方法，给出了图的自同态摹群的整矩阵表示，并讨论了整矩阵半群的简单性质。
In this paper, by using a class of the generalized Green equivalences, the authors study a class of irregular semigroups ── right complete semigroups, which are an irregular extension of completely simple semigroup semilattices.
本文利用一类广义Green关系讨论了一类非正则半群一右完全半群，它是完全单半群半格的一种非正则扩张。
Meanwhile, the constructing of the translational hull of some kinds of semigroup was carried on, including the translational hull of completely 0-simple semigroup, and the structure of the translational hull of the Rees matrix in inverse monoid and so on.
此外，关于一些半群平移壳结构的研究工作也有许多结果，如完全0-单半群，幺逆半群等的平移壳。
In this paper, graph-semigroup is defined, and poved that two pseudo-simple graphs are isomorphic if and only if their graph-semigroups are isomorphic.
构造了图半群，并证明两个拟简单图同构的充要条件是其相应的图半群同构；
On equivalences lattice on a set and congruences lattice on a complete O-simple semigroup
关于集合的等价格和完全O-单半群的同余格
Let S be a right simple right cancellative semigroup.
设S是一个右单纯、右可消的半群。
Simple ideal extension of a group of prime order by a finite commutative nilpotent semigroup on a tree
素数阶群按树上有限交换幂零半群的单纯理想扩张
Structure and Vertex Transitive Property of Directed Cayley Graphs on Completely Simple Semigroup with Degree 2 Monotone Hybrid Algorithm for Fixed Points of Nonexpansive Semigroups
2度完全单半群有向Cayley图的结构及其点传递性单调混杂算法迭代逼近非扩张半群的不动点