查询词典 algebras

Constructing new Hopf algebras from known Hopf algebras is one of the most important problems in Hopf algebra theory .

利用已知的Hopf代数构造新的Hopf代数是Hopf理论中的重要研究课题。

The theory of operator algebras" Lie structure is one of the wealthiest fields of operator algebras from 1950"s.

算子代数的Lie结构理论是上世纪50年代以来算子代数中富有成果的领域之一。

Sufficient conditions for quasi-hereditary Nakayama algebras and for quasi- hereditary left serial algebras to have global dimension equal to 2 or 3 are obtained.

本文分别给出了拟遗传Nakayama代数和拟遗传左serial代数的整体维数等于2或3的充分条件。

Then, we point out that stratification algebras are not necessarily quasi-hereditary algebras.

利用这个结论，举例说明[CPS5，PS]中关于&拟遗传代数是可层化的代数&其逆不成立。

This thesis consists of two parts,part I:Complete Lie algebras and part II:Sym-metric self-dual Lie algebras...

本文由两部分构成：第一部分：完备李代数；第二部分：对称自对偶李代数。

By using properties of scalar matrices over semirings,we generalize algebraic properties for the automorphisms of matrix algebras over commutative rings and obtain some algebraic properties for the automorphisms of matrix algebras over commutative semirings.

在这一章中，我们首先利用半环上常量矩阵的性质把环上矩阵代数的性质拓广到半环上，获得了交换半环上矩阵代数自同构的一些代数性质，接下来采用积和式的方法证明任意非负交换半环上n阶矩阵代数Tn的自同构的n次幂必为内自同构。

In chapter 4, Lie derivations of nest algebras and Lie isomorphisms on nest subalgebras of von Neumann algebras are characterized.

第四章我们主要讨论了套代数上的Lie导子和套子代数之间的Lie同构。

Often, the characterizations of such linear preservers imply that they are algebric isomorphisms or algebric anti-isomorphisms, and therefore reveal the connection between the inherent properties of operator algebras and linear maps on itself. This makes one know and understand operator algebras more deeply.

其研究结果表明，在许多情形下，这样的线性映射是代数同态或代数反同态，从而揭示了算子代数的固有性质以及与其上线性映射的联系，使人们进一步加深对算子代数的认识和理解。

Our results show that 2-local isomor-phisms of JSL algebras must be isomorphisms; local derivations and 2-local derivationsof JSL algebras must be derivations.

证明了J子空间格代数上的2-局部同构一定是同构；局部导子和2-局部导子一定是导子。

Secondly, it has drawn out the pointed YD-Lie algebras definition, in the category of Yetter-Drinfeld modules, let Z be a torsion-free abelian group, if we have a symmetric braiding c, for each G-graded algebra V over the G-graded space, a new Lie superalgebra with an operation _c satisfying an actions, then we can obtain a new Lie superalgebra, this paper to call it pointed YD-Lie algebra.

其次引出了点YD-李代数，即：在Yetter-Drinfeld模范畴中，对任意的一个G-分次代数Z(G为无挠群V，引入对称辫子c后，在V内作_c运算，即可得到一种新的李代数(本文称之为点YD-李代数)。

Putt your way through 36 fun-filled holes of minigolf on 3D designed courses with elevated greens, bunkers, bridges and water hazards, among other crazy obstacles.

您的推杆方式，通过36个有趣的填孔迷你的三维设计的课程，以提升绿党，掩体，桥梁和水的危害，除其他疯狂的障碍。

Some participles can be used either as attributes or as predicatives.

有些分词既可当定语用，也可当表语用。