algebraic equation
代数方程
algebraic expression
代数表达式
linear algebra
线性代数
algebraic manipulation
代数运算
elementary algebra
初等代数
boolean algebra
布尔代数
lie algebra
李代数，李氏代数
relational algebra
[数]关系代数
advanced algebra
高等代数，大代数
matrix algebra
[数]矩阵代数
modern algebra
近世代数
abstract algebra
抽象代数
He was not good at algebra in middle school.
他中学时不擅长代数。
had the algebra problems down.
精通代数问题
algebra is, properly speaking , the analysis of equations.
代数，确切地说，就是方程解析。
In algebra, the sign X usually denotes an unknown quantity.
在代数里, 符号X常用来表示未知数。
Moreover, the inner automorphism group of a basic quasi-hereditary algebra acts transitively on the set of its exact Borel subalgebras.
【摘要】： 正 It is proved that the exact Borel subalgebras of a basic quasi-hereditary algebra are conjugate to each other.
Further more,we prove that the cohomotopy groups is isomorphic to K1 -group of the continuous algebra on topological boundary of bounded domains in C.
进一步证明了：在复平面C中，任意有界域的拓扑边界上连续函数代数的K_1-群与其边界上的上同伦群同构。
If you want to be a draftsman, a machinist, a molder, or a patternmaker, you'll need algebra and geometry and even trigonometry.
如果你想成为手工艺人、缝纫工、造型工或制模工，你需要代数和几何，甚至三角学。
Using the notion of coefficient matrix and maximal element.We prove that the Lie algebra is semi-simple and it has no abelian two dimensional subalgebra.
利用系数矩阵和极大项，证明了这类李代数是半单李代数且没有二维交换子代数。
In this paper, the conclusion is that the intersection of lie subring of a Lie group is a Lie subring is obtained, moreover,it gives the Lie algebra of the Lie subring.
文章通过李子群的性质得出了李群的两个李子群的交依然是李子群的结论,进而得出这一李子群的李代数形式。
In this paper, we proved that the definition of a semilattice as a universal algebra and the definition of a semilattice as a partial ordered set are equivalent.
本文中，我们证明了作为泛代数的半格的定义与作为偏序集的半格的定义是等价的。
Four years after he graduated from school, Tom decided to dust off his algebra book.
汤姆从学校毕业四年后, 决意重温代数。
If σ_p(A) and σ_p(B) are not empty, then A,B are similar in the Calkin algebra C(H) if and only if there exists a compact operator K such that A + K ~ B.
如果σ_p(A)和σ_p(B)都是非空集合， 则A，B在Calkin代数C(H)中相似当且仅当存在紧算子K 使得A + K ~ B。
In the paper,we discuss some properties of prolongation in which the voctor field X of the manifold M polongs to the Cotangent Bundle T *M,and the Prolongation of the Lie algebra of Lie groups.
文章讨论了流形M上的向量场X在其余切丛T*M上的拓展的几个性质,并讨论了李群上李代数的拓展。
In this paper, we will give the explicitly condition on the parameter set Ω such that the cyclotomic Birman-Murakami-Wenzl algebra BMWr,2 over a commutative ring is R-free with rank 3r2.
本文将给出关于参数集合Ω的约束条件，使得定义在交换环R上的分圆Birman-Murakami-Wenzl代数BMWr，2是秩为3r2的自由R-代数.
algebraic equation
代数方程
algebraic expression
代数表达式
linear algebra
线性代数
algebraic manipulation
代数运算
elementary algebra
初等代数
boolean algebra
布尔代数
lie algebra
李代数，李氏代数
relational algebra
[数]关系代数
advanced algebra
高等代数，大代数
matrix algebra
[数]矩阵代数
modern algebra
近世代数
abstract algebra
抽象代数
He was not good at algebra in middle school.
他中学时不擅长代数。
had the algebra problems down.
精通代数问题
algebra is, properly speaking , the analysis of equations.
代数，确切地说，就是方程解析。
In algebra, the sign X usually denotes an unknown quantity.
在代数里, 符号X常用来表示未知数。
Moreover, the inner automorphism group of a basic quasi-hereditary algebra acts transitively on the set of its exact Borel subalgebras.
【摘要】： 正 It is proved that the exact Borel subalgebras of a basic quasi-hereditary algebra are conjugate to each other.
Further more,we prove that the cohomotopy groups is isomorphic to K1 -group of the continuous algebra on topological boundary of bounded domains in C.
进一步证明了：在复平面C中，任意有界域的拓扑边界上连续函数代数的K_1-群与其边界上的上同伦群同构。
If you want to be a draftsman, a machinist, a molder, or a patternmaker, you'll need algebra and geometry and even trigonometry.
如果你想成为手工艺人、缝纫工、造型工或制模工，你需要代数和几何，甚至三角学。
Using the notion of coefficient matrix and maximal element.We prove that the Lie algebra is semi-simple and it has no abelian two dimensional subalgebra.
利用系数矩阵和极大项，证明了这类李代数是半单李代数且没有二维交换子代数。
In this paper, the conclusion is that the intersection of lie subring of a Lie group is a Lie subring is obtained, moreover,it gives the Lie algebra of the Lie subring.
文章通过李子群的性质得出了李群的两个李子群的交依然是李子群的结论,进而得出这一李子群的李代数形式。
In this paper, we proved that the definition of a semilattice as a universal algebra and the definition of a semilattice as a partial ordered set are equivalent.
本文中，我们证明了作为泛代数的半格的定义与作为偏序集的半格的定义是等价的。
Four years after he graduated from school, Tom decided to dust off his algebra book.
汤姆从学校毕业四年后, 决意重温代数。
If σ_p(A) and σ_p(B) are not empty, then A,B are similar in the Calkin algebra C(H) if and only if there exists a compact operator K such that A + K ~ B.
如果σ_p(A)和σ_p(B)都是非空集合， 则A，B在Calkin代数C(H)中相似当且仅当存在紧算子K 使得A + K ~ B。
In the paper,we discuss some properties of prolongation in which the voctor field X of the manifold M polongs to the Cotangent Bundle T *M,and the Prolongation of the Lie algebra of Lie groups.
文章讨论了流形M上的向量场X在其余切丛T*M上的拓展的几个性质,并讨论了李群上李代数的拓展。
In this paper, we will give the explicitly condition on the parameter set Ω such that the cyclotomic Birman-Murakami-Wenzl algebra BMWr,2 over a commutative ring is R-free with rank 3r2.
本文将给出关于参数集合Ω的约束条件，使得定义在交换环R上的分圆Birman-Murakami-Wenzl代数BMWr，2是秩为3r2的自由R-代数.
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