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Suppose be an arbitrary field with at least 3 elements,T_2 be 2×2 upper triangular matrix algebras,P_2={A∈T_2:A_2=A}.

研究了矩阵空间保不变量问题中的不变量是矩阵的逆的线性算子保持问题。

The versal unfolding theorem obtained in this paper by using DA-algebras tools introduced by Damon not only includes many corresponding results but also cancels the stronger demand on the codimension of a bifurcation Problem in some of relevant references to establish more general unfolding theory.

本文第二章进一步研究在(来源:AB00c6C论文网www.abclunwen.com)接触等价群作用下上述等变分歧参数及其开折的稳定性问题,得到了这类分歧问题是稳定的等价于它是无穷小稳定的结论,并且用横截性条件刻画了这类分歧问题的稳定性。

We also study Verma modules over generalized Virasoro algebras Vir.

我们还研究了广义Virasoro代数Vir上的Verma模。

Furthermore, we will find that conditions in the above theorem are not valid for abelian table algebras.

另外我们还将通过一例子说明该判别条件对abel表代数是不成立的。

Besides having a some insight into theinternal structure of operator algebras,it gives a greatimpetus to the development of modern mathematics towords thenon-commutative direction,especially to the developement ofnon-commutative geometry,non-commutative algebraical topologyas well as non-commutative algebraical geometry.

除了反映算子代数自身的内在性质之外,它还对于现代数学朝着非交换的方向发展起着积极的推动作用,特别对于&非交换微分几何&,&非交换的代数拓朴&,甚至&非交换的代数几何&等非交换的数学学科的发展具有重要的影响。

Chapter 7 deals with Cartan subalgebras of Lie algebras, regular elements and conjugacy theorems.

第7章与谎话代数,有规律的要素和conjugacy 定理的卡坦subalgebras的交易。

In this doctorial dissertation,we study the stabilization,strong stabilization and estimation problem in the framework of nest algebras in Hilbert space.

本文我们是在套代数框架下,研究Hilbert空间中线性系统的稳定化、强稳定化以及一般估计问题。

Chapter 1 is introduction.we introduce the importance of homological theory in Algebras, and the close relations with other algebraic branchs.

第一章为引言,主要介绍了同调理论在整个代数学中的重要位置以及与其它代数分支的密切联系。

In this dissertation,we concentrate on the homological properties of DG mod-ules over connected DG algebras and study various homological invariants.

本文以连通DG代数上的DG模范畴为研究对象,系统地研究了连通DG代数上的DG模的同调性质及各种同调不变量。

Monadic Boolean algebras also have an important connection to modal logic.

一元布尔代数还与模态逻辑有重要联系。

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In her eyes, because that is the doorway toher heart * the place where love resides.

女人的漂亮必須從她的眼睛中去看,因為那是她心靈的窗戶和愛居住的地方

I will send some postcards to you.

我会向你发送一些明信片。

Of aesthetics and the definiteness of its content and leads to its immaturity and decline .

它的不确定,直接影响美学学科定位乃至研究内容的确定,导致美学学科的不成熟和衰微。