第一章，主要研究消去幺半群。
得到了一类自同态幺半群不是正则的图。
A family of graph which is not End-regular is constructed in this paper.
特别是确定了交换的可消幺半群的半格的好同余格上的交与并运算。
Furthermore, the meet and the join for the good congruence lattice are determined for the semilattice of commutative cancellative monoids.
关于“群”有各种各样的定义，本文给出了有限幺半群成为群的一个条件。
There are many definitions on group. The author presents a condition about the finite uni-semigroup becomes a group, and makes some discussions about the finite commutative uni-semigroup.
本文第一节给出了广义幂级数环(特别是幺半群环)的零因子图的基本性质。
In this paper, we firstly discuss the property of zero-divisor graph of rings of generalized power series in section 1.
刻划了具有P -正则自同态幺半群的二分图，讨论了字典序积图的自同态幺半群的P -正则性。
Bipartite graphs with P-regular endomorphism monoids are characterized. P-regularity of the endomorphism monoid of lexicographic product of graphs is discussed.
介绍弱左正则幺半群的概念，指出在可交换半群中，完全正则、弱左(右)正则和完全幂等是等价的。
In this paper, we introduce the notion of left weakly regular semigroup and show that in a commutative semigroup, the complete regularity, regularity, left resp.
首先说明概念是文本中最基本的属性，概念之间存在着合取运算，概念集基于合取运算的生成变化关系构成一个概念幺半群。
By analyzing the basic attributes of the documents and the relationship of these attributes, a conceptual uni-semigroup can describe the relation of concept sets based on the conjunctive operation.
该文利用自由幺半群上的有理形式幂级数理论，构造出该概率分布的约化线性表示，从而完全解决了噪声变量的概率分布计算问题。
In this paper, we propose a reduced linear representation of such distribution based on the formal power series on free monoid which can be easily used to calculate the probability distribution.
本文给出了建立在含幺半群基础上的范畴语法的代数结构 ，定义了范畴方程和它的解并对范畴方程的解作了分类 ：相容性的相关性。
In this article, we showed the algebraic structure of syntactic categories based on monoid and defined categorial equation whose solutions are described by consistency and correlation .
在去掉幺元的情况下，讨论了完全单半群的半直积问题。
The author discusses the problem of the semidirect products of completely simple semigroups without identity element.
在去掉幺元的情况下，讨论了完全单半群的半直积问题。
The author discusses the problem of the semidirect products of completely simple semigroups without identity element.
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