给出了无限循环子半群的两个性质。
设S是一个右单纯、右可消的半群。
存在所有好余的并都是好余的非正则半群。
There exists an irregular semigroups in which joins of good congruences are good.
本文完全确定了该类数字半群的极小表示。
The minimal presentations of this kind of numerical semigroups are completely determined.
众所周知，正则半群上的同余都是好同余。
It is well known that congruences on regular semigroups are good.
后面二人在1961年出版了半群理论的专论。
The latter two published a monograph on semigroup theory in 1961.
作者证明了右完全半群的结构分解唯一性定理。
The authors also proved the uniqueness theorem on structure decomposition of right complete semigroups.
证明了一个半群上所有模糊同余关系作成一个格。
We show that all fuzzy congruence relations on a semigroup is a lattice.
本文研究积分双半群与有界线性算子双半群的关系。
The relationship between integrated bisemigroups and bisemigroups of linear bounded operators is investigated.
在此基础上，给出了适当半群上模糊好同余的性质。
On this base, some properties of fuzzy good congruences on adequate semigroups are given.
正则半群上的同余是由其幂等元同余类所完全决定的。
The congruences on a regular semigroup is completely determined by its idempotent congruence classes.
左半正规纯正半群是幂等元集形成左半正规带的纯正半群。
A left seminormal orthodox semigroup is an orthodox semigroup whose idempotents form a left seminormal band.
逆半群和具有逆断面的基础纯正半群的结构是比较简单的。
The constructions of inverse semigroups and fundamental orthodox semigroups with inverse transversals are simple.
本文主要研究了左正则半群，正则子集以及GV -半群。
Left regular semigroups, regular subsets and GV-semigroups are studied in this paper.
模型表明，有效权限集合与多重权限合并运算具有半群结构。
The model shows that the available permission set together with multi-permission combination operator is a hemigroup.
本文讨论了完全简单半群的某些性质并给出了若干应用的例子。
In this paper we discuss some properties of completely simple semigroups, and some examples of application are Gwen.
运用包络半群的理论，对接近关系中一个重要定理给出了一个简单证明。
By using theory of enveloping semigroup, we give a simple proof of an important theorem concerning proximity relations.
本文主要讨论了半群的加细半格在研究半群的性质和结构中的若干应用。
The main topic is some applications of refined semilattices of semigroups in the study of properties and structures of semigroups.
给出了两个半群的半直积和圈积为矩形拟正则半群和矩形群的充要条件。
This paper gives necessary and sufficient conditions for the Semidirect and Wreath Products of two semigroups to be Rectangular Quasi-Regular Semigroups (Rectangular Groups).
剩余有限性是半群中比较重要的有限性条件之一，它和算法问题紧密相关。
Residual finiteness is one of the more important finiteness conditions. It has tight correlation with algorithmic problem.
本文利用半群理论讨论一类具有无穷多个瞬时态和无穷多个稳定的马氏过程。
In this paper, we apply the semigroup theory to Markov processes in which there are infinite instantaneous states and infinite stable states.
本文主要研究右迁移单迁移线性半群、迁移单迁移线性半群和拓扑迁移半群。
In this dissertation, we mainly consider transitive linear semigroups and topologically transitive linear semigroups of M_n (c).
具有逆断面的正则半群的格林关系在研究该类半群的性质时起到非常大的作用。
The Green relations on a regular semigroup with inverse transversals play important roles in studying the nature of this sort of semigroup.
具有逆断面的正则半群的格林关系在研究该类半群的性质时起到非常大的作用。
The Green relations on a regular semigroup with inverse transversals play important roles in studying the nature of this sort of semigroup.
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