They finished their long-term classification effort of Hopf algebras with coradical.
他们完成了长期以来努力对霍普夫代数上根进行的分类。
Operator theory, operator algebras, and applications.
算子理论，算子代数及其应用。
Lie algebras of derivations of n-differential operator algebra.
元微分算子代数的导子李代数结构。
As application, we give a equivalent axiom system of associative BCI-algebras.
作为应用，给出结合BCI -代数的一组等价公理系。
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。
In this paper, some useful properties of dual extension algebras are considered.
本文对对偶扩张代数的性质作了有意义的研究。
The implicative BCI algebras are described completely via BCI implicative ideals.
应用bci关联理想完全刻画了关联BCI代数。
It is closed under quotients, inductive limits and tensor products with AF-algebras.
而且它关于商，归纳极限，与AF -代数做张量积等运算是封闭的。
As consequences it is given some of structure theorems of lattice implication algebras.
作为推论，给出了格蕴涵代数的某些结构性定理。
The concepts of intuitionistic fuzzy fields and intuitionistic fuzzy algebras are put forword.
提出了直觉模糊域和直觉模糊代数的概念。
In the paper, we proved that every isomorphism of strohglyreducible triangular algebras is spatial.
本文证明了强可的极大三角代数的同构是空间实现的。
These results may describe the characterizations of interior structures of the regular FI-algebras.
所得结果在一定程度上反映了正则剩余格内部结构的特征。
In the last section of this chapter, the mutual relations of the above various algebras are discussed.
在本章最后一节，讨论了以上各类代数相互之间的关系。
A defining matrix is given for the solvable and complemental Lie algebras with a generator relation method.
本文用生成元和定义关系的方法，对每个可解可补李代数给出一个定义矩阵。
In this paper, we study the subalgebra structure of the general linear Lie algebras over commutative rings.
本文研究了含幺可换环上一般线性李代数的子代数结构。
An error is corrected and a complete proof of isomorphism theorem for tensor algebras over valued graphs is given.
纠正了关于赋值图的张量代数的同构定理证明中的一个疏忽，给出了此同构定理一个完整的证明。
Then we introduce the conceptions of derivation-ideals, solvable derivation-ideals and simple derivation-algebras.
然后引入导子理想、可解导子理想以及导子单代数的概念。
The complete constructions of scale generalized effect algebras and scale effect algebras are studied in this paper.
研究了标度广义效应代数与标度效应代数的代数结构，给出了比较完整的结果。
We study in this paper the structure of additive mappings on triangular matrix algebras which preserve commutativity.
本文研究了三角矩阵代数上保持交换性的可加映射的结构。
The Lie groups and Lie algebras is successfully extended to study the mechanical system with spatial compliant links.
将李群李代数理论成功地拓展应用于空间柔性机构系统的分析，验证了该方法的有效性。
We systematically sum up characteristics of advanced algebras in thought methods from the Angle of theory of knowledge.
从认识论的角度，系统地总结了高等代数在思想方法上的特点。
Therefore, the forming of new lattice implication algebras plays an important role in artificial intelligence research.
因此，构造新的格蕴涵代数对人工智能的研究具有重要意义。
And also we characterize the linear operators that strongly preserve commuting pairs of matrices over Boolean algebras.
同时也刻画了布尔代数上强保持交换矩阵对的线性算子。
In this paper we have proved, without any restriction, that homomorphic Images of fuzzy algebras form are fuzzy algebras.
本文在对同态与模糊代数不加任何限制的情况下，证明了模糊代数的同态象仍是模糊代数。
In this paper, we introduce the notion of involution commutative semi-group, and give some equivalence axioms of MV - algebras.
本文通过对合交换半群概念的引入，对MV-代数建立了几组等价公理系，对原有的公理系进行了较好的简化。
There are particular relations between the closed connected normal subgroups of algebraic groups and the ideals of Lie Algebras.
代数群的连通正规闭子群与李代数的理想之间有很特殊的关系。
This extends totally the structure theorem of finite simple BCK algebras by Jiang Hao to the case of infinite simple BCK-algebras.
从而把姜豪的有限单BCK-代数结构定理完整地推广到无限的情形。
In the last part, we further generalize left symmetric algebra and left symmetric structure on Lie algebras into Lie color algebras.
最后一部分中，我们讨论左对称代数和李代数上的左对称结构在着色李超代数中进一步的推广。
The notion of BCI implicative ideals is introduced. It is a natural generalization of the notion of implicative ideals in BCK algebras.
引入一类新理想——BCI关联理想的概念，证明了它是BCK代数中关联理想概念在BCI代数中的自然推广。
We introduce the definition of N-divisible effect algebras, then we show that N-divisible effect algebras are interval effect algebras.
引入了N -可分效应代数的定义，证明了N -可分效应代数是区间效应代数且N -可分效应代数可嵌入到可分效应代数中。
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