monoid

Let M be a commutative Monoid, G a commutative group and D a M graded field.

设M是交换Monoid，G是交换群，D是M分次域。

In this paper, an infinite family of graphs which possess a regular endomorphism monoid is presented, and the corresponding enumeration of the endomorphisms is deduced.

本文给出了一族具有正则自同态么半群的图及相应的自同态计数公式。

Graphs with Strong Endomorphism Monoid being the Union of Groups

强自同态半群构成并群的图族

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。

Three monoid of bamboo grove soil microorganism showed evident season variation.

三种竹林土壤微生物三大类群均表现出了明显的季节动态变化。

An infinite family of graphs with regular endomorphism monoid

一族具有正则绐幺半群的图

Buntings are the biggest monoid of migratory bird.

鹀亚科的鸟类是迁徙鸟类中最多的类群。

A graph is called weakly s-arc transitive if the endomorphism monoid acts transitively on the s-arc ( s> 1).

称图X为弱s-弧传递图，如果自同态幺半群End（X）在X的s-弧上传递作用（s≥1）。

since the identity element of a monoid is unique, one can alternately define the identity function on m to be this identity element.

因为么半群的单位元是唯一的，可以以M上的单位元来替代其恒等函数的定义。

The Integral Matrix Representation of the Endomorphism Monoid of a Graph

图的自同态摹群的整矩阵表示