algebras

His classmates were labouring with elementary algebra.

他同学们在绞尽脑汁地演算初等代数题。

He was not good at algebra in middle school.

他中学时不擅长代数。

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。

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。

Moreover, the inner automorphism group of a basic quasi-hereditary algebra acts transitively on the set of its exact Borel subalgebras.

【摘要】： It is proved that the exact Borel subalgebras of a basic quasi-hereditary algebra are conjugate to each other.

If you want to be a draftsman, a machinist, a molder, or a patternmaker, you'll need algebra and geometry and even trigonometry.

你想成为手工艺人、缝纫工、造型工或制模工，你要代数和几何，甚至三角学。

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.

在复平面C中，任意有拓扑边上连续函数代数K_1-群与其边上上同伦群同构。

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, 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半格定义与作为偏序集半格定义是等价。

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.

文章通过李子群性质得出了李群两个李子群交依然是李子群结论,进而得出这一李子群李代数形式。