algebras

On the Ordered structure of A Class of Finite BCK-Algebras

一类有限BCK－代数的序结构

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。

We mainly consider completely monotone functions from semigroup to operator algebras.

我们主要讨论了作用在半群上取值于算子代数的完全单调函数.

Complete Determination of Simple BCK-Algebras of Order 6 with Natural Total Ordering

具有自然全序的6阶单BCK-代数的完全确定

The Enveloping Algebras of τ-Lie Algebras and Their PBW Theorem

τ-李代数的普遍包络代数及其PBW定理

Then, some regular semigroups were constructed by using of weak antipodes of some weak Hopf algebras.

然后用某些弱Hopf代数 的弱对极构造正则半群.

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。

These show that BCK/ BCI algebras are considerably wide structures.

这些说明BCK／BCI代数是相当广泛的结构。

In this paper, some properties of semisimple generalized vertex algebras ( resp. semisimple generalized vertex operator algebras), for example the decompositions of these algebras;

讨论了半单广义顶点代数（相应地半单广义顶点算子代数）的若干性质，例如：这些代数的分解；

Koszul algebra was introduced by Priddy in 1970 . Roland Berger generalized it to t-Koszul algebras.

1970年,Priddy将Koszul代数的概念引入到代数的研究中.

Two criteria reducibility of presentations of finite dimensional associative algebras are presented.

给出有限维结合代数上表示可约性的两个判别法.

The concept of primary filter is proposed in residuated lattice implication algebras.

在剩余格蕴涵代数中,提出准素滤子的概念.

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。

The paper introduces the generalized derivations of Lie triple systems by popularizing that of Lie algebras.

将李代数的广义导子的概念推广到李三系中.

Condition of Equivalence on BCK-Algebras' Dual Ideal

关于BCK-代数对偶理想的充要条件

And a kind of congruence relation and corresponding quotient algebras are studied also.

详细研究了弱BL中经常用到的定理，并研究了一种同余关系极其商代数的代数问题。

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。

On Semidirect Product of Discrete Groups and Crossed Product of von Neumann Algebras

关于离散群的半直积与von Neumann代数的交叉积

Leibniz Algebras Defined by Tensor Product of Lie Algebras

李代数的张量积所确定的Leibniz代数

BCK/ BCI algebras are two classes of logic algebras.

BCK／BCI代数是两类逻辑代数，BCI代数是BCK代数的推广。

Simplify the axiom system of lattice implication algebras, which was given by Y.

给出的格蕴含代数的公理系统, 并给出另一个公理系统.

Such kind of graded algebras arise naturally in representation theory and in algebraic geometry ( [ BGS ] ).

表示论中出现的许多代数(如路代数)和代数几何中出现的一些代数 ( 参见 [ BGS ] ) 是这样的正分次代数.

The fundamental theory of Lie groups and Lie algebras on robotics is expatiated in brief.

对李群李代数方法在机器人中的应用做了基本的阐述,澄清了一些基本概念.

In this paper , the concept of ultrafilter of lattice implication algebras is proposed.

根据逻辑代数方程理论, 提出了格蕴涵代数方程的概念.

With suitable bases of the Clifford algebras, we construct isomorphisms between Clifford algebras and matrix algebras.

选取不可约表示空间的基，具体建立了Clifford代数与矩阵代数之间的同构。

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。

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。

In this paper , the path algebras and their properties are studied.

对路李代数及其性质做了研究.

In this paper , we introduce UB algebras for universal logic in the ideal condition.

泛逻辑学对应的代数系统-UB代数, 给出它的一系列性质.

For the ×-R-Hopf algebras the generalization of the fundamental structure theorem of Hopf modules is given by introducing the definition of antipode.

在引入了对极的概念之后并将基本结构定理推广到×R Hopf代数上的Hopf模上。