Let S be a right simple right cancellative semigroup.
设S是一个右单纯、右可消的半群。
S is a nil-extension of strong semilattice of right semigroup.
为右群强半格的诣零理想扩张。
The latter two published a monograph on semigroup theory in 1961.
后面二人在1961年出版了半群理论的专论。
We show that all fuzzy congruence relations on a semigroup is a lattice.
证明了一个半群上所有模糊同余关系作成一个格。
The configuration form's semigroup is constructed and it's basic character is proved.
构造出半群的结构式并证明其具有的基本特征。
This paper mainly focuses on the study of the translational hull of superabundant semigroup.
本文主要研究超富足半群的平移壳问题。
This thesis is mainly devoted to study an abundant semigroup with a quasi-adequate transversal.
本文主要研究具有拟恰当断面的富足半群。
Similar to group graded rings and modules, partial semigroup graded rings and modules are defined.
类似于群分次环和群分次模的定义，定义了部分半群分次环和部分半群分次模。
The congruences on a regular semigroup is completely determined by its idempotent congruence classes.
正则半群上的同余是由其幂等元同余类所完全决定的。
In this paper, the notation of a strongly ordered congruence on an ordered semigroup s is introduced.
设s是有向序半群，本文给出了S上的一类正则同余，称为强序同余的定义及性质。
A semigroup is called an I-semigroup if it is not in itself a group but its every real-bi-ideal is group.
如果一个半群的每个真双理想都是群，而它本身不是群，则称这个半群为i半群。
A left seminormal orthodox semigroup is an orthodox semigroup whose idempotents form a left seminormal band.
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。
The translational hull of a semigroup plays an important role in the theory of ideal extensions of semigroups.
半群平移壳在半群的理想扩张理论中占据重要地位。
Completely regular congruence on an eventually regular semigroup is uniquely determined by its kernel normal system.
拟正则半群上的两个完全正则同余相等当且仅当它们的核正规系相同。
By using theory of enveloping semigroup, we give a simple proof of an important theorem concerning proximity relations.
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。
It is proved that for a partial semigroup g, the category of G-unions and the category of G-graded rings are isomorphic.
同时对盟定义了盟模，并证明了对部分半群g，所有G -盟作成的范畴与所有G -分次环作成的范畴是同构的。
In this paper, we described the green relations on matrix semigroup through the vector maximal independent subset of matrix.
文章利用矩阵的行向量组和列向量组的极大无关组刻画了矩阵半群中的格林关系。
This paper defined anti-part mapping on set and has given a new deseription of dual semigroup of transformation semigroup on set.
定义了集合上的反部分映射，并由此给出了集合上的变换半群的对偶半群的一个新刻划。
In this paper, we define the local nilpotent radical of a semigroup having kernel and prove some properties which is similar to rings.
本文定义了有核半群的局部幂零根，并证明了与环相近的一些性质。
In this paper we introduce the notion of a normal fuzzy left (resp. right) ideal in a semigroup, and investigate some of its properties.
本文引入了半群的正规左(右)模糊理想的概念，研究了这类模糊理想的性质。
In this paper, the compactness of solution map for parabloic system with a nonlinear boundary control using semigroup theory is obtained.
利用半群理论等方法讨论了半线性抛物型边界控制系统解映射的有界性 。
The rectangular group congruences on eventually orthodox semigroup were characterized by means of weak inverse and kernel-trace approach.
利用弱逆和核迹方法，刻画了毕竟纯整半群上的矩形群同余。
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。
In this paper, we apply the semigroup theory to Markov processes in which there are infinite instantaneous states and infinite stable states.
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。
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