基本解释：代数的数论
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By using congruence theory and algebraic number theory,proved that the Diophantine equation x 2 + 1 =y5 has only integer solution(x,y)=(0,1)and the Diophantine equation x 2 + 64 =y3 has no integer solution.利用同余理论和代数数论的有关结论,证明了不定方程x2+1=y5仅有整数解(0,1)以及不定方程x 2+64=y3无整数解。
It has developed from two sources: algebraic geometry and algebraic member theory.它由两个方面发展而来，代数几何和代数数论。
Applications of Representation Theory of Algebras to Hopf Algebras;代数表示论在Hopf代数中的应用
The Frattini Theory of Restricted Lie Color Algebra;限制李Color代数的Frattini理论
ANALYSIS OF MATHEMATICAL METHODOLOGY IN THE CONTENTS OF THE COURSE "HIGHER ALGEBRA;《高等代数》课程内容的数学方法论分析
P-solvable Restricted Lie Colour Algebras and the Basic Theory of Associative Lie Colour Algebras;P-可解限制李colour代数与结合李colour代数基本理论
An Approach to Introducing the Nonlinear Algebraic Equation System into Advanced Algebra Curriculum;非线性代数方程组理论引入高等代数课程研究
A Problem about the Intersection of Orthogonal and Symplectic Algebras;关于正交代数和辛代数交集的问题的讨论
K-Theory for Extensions of Purely Infinite Simple C~*-algebrasⅡ纯无限单C~*-代数的扩张代数的K-理论Ⅱ
Study on the Development of Mathematics in Tang Dynasty and the Inspiration to Us in Modern Society;论唐代数学的发展及其对现代的启示
Modernity of Chinese Minorities′ Literature;略论中国现代少数民族文学的现代性
Hoehere Algebra: die Matrixtheorie und die Polynomtheorie.高等代数：矩阵理论和多项式理论。
Several Methods of Proving Fundamental Theorem of Algebra by Using Theory of Complex Functions;复变函数理论证明代数学基本定理的几种方法
Study on Some Algebra Questions of Quaternion Matrix四元数体上一些矩阵代数问题的理论研究
Using "Iterative Loop and If Function" to Calculate Rectification Column Theoretical Plate Numbers用迭代循环和条件函数求解精馏塔理论塔板数
Lie algebra structure on Virasoro algebraVirasoro代数的Hom-李代数结构
Explore Relations between the Higher Algebra and the Mathematics of Middle School by Mathematical Methodology;从数学方法论看高等代数与中学数学的多种联系
Of, relating to, or designating algebra.代数的代数的，关于代数的或表示代数的
Classifications of A(?)-Algebras and Extension Algebras of AT-Algebras;A（？）-代数和AT-代数扩张代数的分类
