Many of important concepts in the theory of abstract Lie algebras come from classical theory of groups, for example, complete Lie algebras is a generalization of complete groups.

1、

Consequently, it becomes an interesting and urgent task to study the properties and the representation theory of these Hopf algebras.

进一步地研究这些Hopf代数的性质和表示就成为人们非常关注且急于解决的一个问题。

互联网摘选

2、

The computational complexity of the theory of complete Boolean algebras

完备布尔代数理论的计算复杂性

互联网摘选

3、

Firstly, we prove three equivalent conditions for a solvable n-Lie algebra. Subsequently, mimicking the Borel subalgebra theory of Lie algebras, we give the definition of a Borel n-subalgebra of an n-Lie algebra, and prove two propositions about it.

第三节，证明了可解n-李代数的三个等价条件，并仿照李代数理论中的Borel子代数的定义，给出了Borel n-子代数的定义及相关性质。

互联网摘选

4、

In this paper, it is proved that weak FI algebras are equivalent to BCI algebras, thus, we are able to study FI algebras by the theory of BCI algebras;

证明了弱FI-代数与BCI-代数是互相等价的.因而，可以充分利用BCI-代数的理论来研究弱FI-代数。

互联网摘选

5、

Representation Theory of Artin Algebras is a subject in which one mostly studies structures of finite dimension algebras, indecomposable representations and global construction of module categories.

代数表示论主要研究有限维代数的结构、不可分解表示和模范畴的构造。

互联网摘选

6、

In this paper the author characterizes congruence permutable Stone algebras by means of dual space theory of Stone algebras.

借助Stone代数的对偶空间的性质，考察了Stone代数的同余可换性。

互联网摘选

7、

As it is required in mathematical logic, the importance of theory of kleene algebras is obviously.

由于逻辑学研究的需要，Kleene代数理论的重要性已越来越明显。

互联网摘选

8、

The general radical theory of H-module algebras and prime radical

H&模代数的一般根论和素根

互联网摘选

9、

The research for them promoted greatly the development of the theory of Hopf algebras.

对其的研究极大地推动了整个Hopf代数理论的发展。

互联网摘选

10、

Determination of representation type of algebras is an important task in representation theory of algebras.

判定代数表示型是代数表示论中的一个重要课题。

互联网摘选

11、

Quivers have played an important role in the representation theory of algebras.

quiver在代数表示论中起着非常重要的作用。

互联网摘选

12、

An Introduction and Survey on Representation Theory of Algebras

代数表示论简介与综述

互联网摘选

13、

Some New Advances in the Representation Theory of Algebras

代数表示论的某些新进展

互联网摘选

14、

Some New Results on Representation Theory of Algebras

代数表示理论的若干研究成果

互联网摘选

15、

A constitutive equation is based on the theory of continuum mechanics, considering the nonlinear viscoelasticity, and following the theory of algebraic invariants.

通过像框剪切试验的结果与本构方程的对比，验证了本构方程的正确性，该方程较好地描述了预浸积物的性质。

互联网摘选

16、

In the 19th century, the German mathematician Gordan and Hilbert studied the theory of algebraic invariants. In 1962, Hu proposed his famous seven moment invariants, who firstly introduced moment invariants in pattern recognition.

在19世纪，德国数学家Gordan和Hilbert曾经细致地研究了代数不变量理论；1962年，Hu将矩不变量第一次引入模式识别中，提出了7个著名的不变量。

互联网摘选

17、

And the existence of the controller can be linked to the existence of solutions of LQ differential game theory of algebraic Riccati equations.

而且控制器的存在性可以和LQ微分对策理论代数Riccati方程的解的存在性联系起来。

互联网摘选

18、

An Investigation on the MTZ Theory of Ion Exchange and Adsorption in the Countercurrent Regenerative Fixed Bed

逆流再生固定床离子交换与吸附过程传质区理论探讨

互联网摘选

19、

A New Kind of Separation Method the Theory and Practice of Complex Adsorption

一种新的分离方法&络合吸附的理论和实践

互联网摘选

20、

The adsorption of dodecylamine on mica and quartz was multilayer adsorption, which can be described by the theory of two step adsorption.

由十二胺在云母和石英表面的吸附等温线可知：十二胺在云母和石英表面都是多分子层吸附，符合表面活性剂在固体表面的两步吸附理论。

互联网摘选