本文对对偶扩张代数的性质作了有意义的研究。
In this paper, some useful properties of dual extension algebras are considered.
半群平移壳理论是半群代数理论的一个重要部分，在半群的理想扩张理论中占有重要地位。
The theory of translational hull of semigroups is an important branch of the algebra theory and plays a basic role in the theory of ideal extensions of semigroups.
对具有泛包络代数结构的量子力学控制系统，研究了泛包络代数的可扩张性和系统状态的定义域问题。
For quantum mechanical control systems with structures of universal enveloping algebras, the thesis studies the enlargability of the universal enveloping algebras and the domain problems.
给出了马尔策夫代数的一个标准扩张，并研究了马尔策夫代数及其扩张间的可解和幂零关系。
The main purpose of this paper is to give a standard extension of Malcev algebras, and investigate the relationship on solvability and nilpotency between a Malcev algebra and its extension algebra.
证明了任一环有代数封闭的扩张环，且实封闭域上的四元数体是代数封闭的，给出了代数封闭环的若干性质。
The two theorems are proved that any ring can be extended into an algebraically closed ring and that the quaternionic skew field over a real closed field is algebraically closed.
本文将应用广义限制李代数的概念来研究具有三角分解李代数的积分元和中心扩张的关系。
In this paper, we apply the concept of the generalized restricted Lie algebra to study the relation of the integral and central extensions of a Lie algebra with a triangular decomposition.
我们给出了有限维对称自对偶色李代数可以双扩张的充分条件，从而在上同调意义下解决了这类色李代数的分类问题；
We give a sufficient condition for a finite dimensional symmetric self-dual Lie color algebras to be a double extension, thus we solve its classification in the sense of cohomology;
我们给出了有限维对称自对偶色李代数可以双扩张的充分条件，从而在上同调意义下解决了这类色李代数的分类问题；
We give a sufficient condition for a finite dimensional symmetric self-dual Lie color algebras to be a double extension, thus we solve its classification in the sense of cohomology;
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