endomorphism

The Endomorphism ring of the additive group of a ring is discussed in this paper. Then we get an extension of Cayley theorem in ring category.

本文讨论环的加群自同态环，从而得到Cayley定理在环上推广。

A subring of the endomorphism ring of an additive group

加法群的自同态环的一个子环

Stable Range of Endomorphism Rings of Semi ∑ Quasi Projective Modules

半∑准投射模自同态环的稳定秩

Discuss the conditions for the group inverse of endomorphisms of modules exists, get an explicit formula of the group inverse of regular endomorphism by weak generalized inverse, and give some applications and examples.

讨论模的同态的群逆存在的条件，得到正则自同态的群逆通过弱广义逆表示的显式，并给出一些应用和例子。

P-endomorphism of BCI-algebras

BCI-代数中的P-自同态

Graded Endomorphism Ring of G-set Graded Module

G-集分次模的分次自同态环

Finally, the endomorphism ring of radical-projective modules is discussed.

最后对根投射模的自同态环进行了讨论。

( Strong) Endomorphism Monoids of the Graphs

图的[强]自同态摹群

Finally, sufficient and necessary conditions for endomorphism rings of some special modules to be semi-π-regular are given.

最后，我们对半π正则环作了一定的研究，给出了一个直投（内）射模的自同态环是半π正则环的充要条件。

Deciding if a polynomial endomorphism over an affine algebraic set is invertible via Wu-Ritt method

基于吴方法判断代数集上多项式自同态是否为同构

On the Image of a Class of endomorphism in BCI-algebras

关于BCI&代数一类自同态的象集

Graphs with Strong Endomorphism Monoid being the Union of Groups

强自同态半群构成并群的图族

Based on Generalized Augmented Principle of New Cut Set and Endomorphism of F Power Set

基于新截集的广义扩展原则和F幂集自同态

He composition series with modules of an endomorphism is defined and studied. The Jordan-Holder theorem and dimension theorem are generalized.

定义并研究了带有一个自同态的模的合成列，推广了著名的Jordan&Holder定理和维数定理。

Finally, we obtain the equivalent condition for the endomorphism set of a group is a mapping Near-ring.

最后给出了一般群的自同态集合能作成Near环的充要条件。

Strong Retracts and the Regularity of Strong Endomorphism Monoids of Graphs

图的强收缩核与图的强自同态幺半群的正则性

The Structure of N-order Idempotent of the Endomorphism Ring in the Linear Manifold

线性流形的自同态环的n级幂等结构

The Endomorphism Monoids of the Lexicographic Product of Two Graphs

图的字典序积和自同态幺半群

An infinite family of graphs with regular endomorphism monoid

一族具有正则绐幺半群的图

The representations of matrix of endomorphism ring of finitely generated Abel groups

具有有限生成元的阿贝尔群的自同态环的矩阵表示

The split graph is given endomorphism images are retracts.

给出了任意自同态像图都是收缩核的分裂图的结构.

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。

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。

Especially, we compute the Hochschild cohomology of endomorphism algebras of complete exceptional sequence of the path algebra whose quiver has 3 vertices and has no orientation.

第四章中，我们主要研究具有三个点的且不带方向圈的有向箭图的路代数上的完备例外序列的自同态代数的Hochschild上同调群。

Endomorphism ring of additive group of a ring

环加群的自同态环

It gets some results about the relation between the direct summands of an additive group and the summands of the endomorphism ring of this additive group.

得到了关于加法群的直和项与其自同态环的直和项间相互刻画的一些结论。

On Certain Modules Whose Endomorphism Rings Are Semi-perfect

关于一些自同态环为半完全环的模

Green's Relations on Endomorphism Monoids of Graphs

图的自同态幺半群的格林关系

The Integral Matrix Representation of the Endomorphism Monoid of a Graph

图的自同态摹群的整矩阵表示

Endomorphism Rings of Finitely Generated Projective Modules over ZIF Rings

ZIF环上有限生成投射模的自同态环