The theory of envelopes and covers takes an important part in theory of rings and modules, homological algebra, representation theory of algebras and so on.

1、

Motivated by these works on two-parameter quantum groups corresponding to finite-dimensional simple Lie algebras, it is natural to establish the theory of two-parameter quantum affine algebras.

受这些有限型双参数量子群工作的启发，建立双参数量子仿射代数的理论是一个自然的问题。

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2、

A Theory of Deformations of Module Algebras

模代数的形变理论

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3、

As an important branch of mathematics, the theory of representation of algebras was developed in the seventies of the twentieth century and mainly studies the structure of finite-dimensional algebra, indecomposable representation and the construction of module category.

代数表示论则是兴起于二十世纪七十年代的一个重要数学分支，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。

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4、

The representation theory of finite dimensional algebras has been developed for over three decades. Its important ideas and techniques turn out to be very useful in many branchs of mathematics.

有限维代数的表示经过三十多年的发展，其方法和工具已渐渐渗透到数学的其它分支。

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5、

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.

李代数的抽象理论中很多重要的概念都来源于经典群论，完备李代数便是一个例子。

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6、

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。

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7、

The computational complexity of the theory of complete Boolean algebras

完备布尔代数理论的计算复杂性

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8、

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。

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9、

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。

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10、

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。

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11、

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。

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12、

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。

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13、

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

H&模代数的一般根论和素根

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14、

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。

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15、

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。

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16、

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。

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17、

An Introduction and Survey on Representation Theory of Algebras

代数表示论简介与综述

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18、

Some New Advances in the Representation Theory of Algebras

代数表示论的某些新进展

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19、

Some New Results on Representation Theory of Algebras

代数表示理论的若干研究成果

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20、

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。

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