该文讨论了单位圆盘上解析函数的加权代数ap中的闭理想问题，并且利用加权系给出了一个闭理想成为AP中的补子空间的判断准则。
In this paper, we deal with the closed ideals in the weighted algebras of analytic functions on the unit disc, and give a criterion to decide whether a closed ideal is complemented subspace in ap.
然后研究支撑解系的特征、性质、代数结构。
Then we research the character, properties, and algebraic structure of supporting solution systems.
采用线性代数的矩阵变换理论，推导出混合螺旋系线性相关性的一般性判据。
A linear independent general criterion of hybrid screw group was deduced based on the matrix transform theory of linear algebra.
李三系作为一种代数体系，最初源于对黎曼流形的一类特殊子空间——全测地子流形的研究。
As an algebraic system, Lie triple systems arise upon consideration of certain sub-spaces of Riemannian manifolds, the totally geodesic submanifolds.
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。
In this paper, we introduce the notion of involution commutative semi-group, and give some equivalence axioms of MV - algebras.
张量代数则离不开坐标系。
张量代数则离不开坐标系。
但是打个比方，当人们试图利用代数和几何来理解太阳系的时候，他们只能够说明这些行星的轨道。
But as an analogy, when people were trying to understand the Solar System with algebra and geometry, they could only describe the planets' orbits.
利用矢量代数的方法，推导出以方向余弦为参量的物坐标系到世界坐标系的坐标变换矩阵；利用矩阵求逆的方法，推导出世界坐标系到物坐标系的坐标变换矩阵。
The coordinate transformation matrix based on the direction cosine parameters from the object coordinate system to the world coordinate system is derived by vector algebra.
本文讨论了复(实)数域上的二维李三系的分类及其对应的导子代数的性质。
In this paper, We study the classification and the properties of their derivation algebras of 2-dimensional Lie triple systems over the complex (real) number field.
本文解答了BCI -代数公理系的独立性问题，同时给出了BCI -代数的另一公理系统。
The article has solved the problem concerning the independence of axiom system of BCI-algebra.
定理3 可解李三超系的任意包络李超代数是可解的，而且若李三超系有可解的包络李超代数，则它也是可解的。
Theorem 3 Any enveloping Lie superalgebra of a solvable Lie triple supersystem is solvable, and if a Lie triple supersystem has some solvable enveloping Lie superalgebra, it is solvable.
定理3 可解李三超系的任意包络李超代数是可解的，而且若李三超系有可解的包络李超代数，则它也是可解的。
Theorem 3 Any enveloping Lie superalgebra of a solvable Lie triple supersystem is solvable, and if a Lie triple supersystem has some solvable enveloping Lie superalgebra, it is solvable.
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