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Derivable mappings play an important role in the study of the structure of operator algebras.

引言导子是算子代数领域的一类重要映射,它对认识算子代数的结构有着重要的作用,如文献[2-3]。

More generally, we consider the Jordan derivable mappings at zero point on von Neumann algebras.

同时更一般的考虑了von Neumann代数上的在零点Jordan可导的线性映射。

In chapter 3 we first characterize the Jordan semi-triple derivable maps of matrix algebras.

第三章主要对矩阵代数上的拟三重Jordan可导映射进行了刻画。

They enrich Zhus conclusion about the generalized derivable mappings at zero point on finite nest algebras from different methods.

它们从不同角度丰富了朱军关于有限套代数上的在零点广义可导的线性映射的结论。

And then prove that every approximately derivable maps of nest algebras acting on an infinite dimensional Hilbert space is inner.

并且对作用在无限维Hilbert空间上的套代数上的近似可导映射进行了刻画,证明了它是一个内导子。

In this paper, we mainly disscuss derivable mappings at zero point, Jordan derivations and 2-local derivations on some operator algebras. The details as following:In chapter 1, some notations, definitions are introduced and some theorems are given.

本文主要对几类算子代数上的在零点可导映射和Jordan导子以及2-局部导子进行了研究,具体内容如下:第一章主要介绍了本文中要用到的一些符号,定义以及本文要用到的一些已知结论和定理。

In the fourth chapter, using algebraic method, we prove that tubular mutations are auto equivalences of the derived category of a derived tubular algebra, and apply this method to the case of tame concealed algebras, which generalizes a result of Meltzer .

第四章我们用纯代数的方法证明:tubular mutation是tubular型标准代数的导出范畴的自等价,并把该方法应用到tame concealed代数,从而推广Meltzer的结果。

In this paper, we mainly use complex semisimple algebras knowledge. First, we give the structure formula of C. Second, we show that any n x n symmetric matrix A is congruent under the symplectic group to the direct sum of a identity matrix and a tridiagonal matrix.

记正交代数和辛代数的交集构成的李代数为L,本文主要是运用复半单李代数的知识,首先给出了L的结构公式,然后给出了任一n×n对称矩阵A辛合同于一个单位矩阵和一个三对角矩阵的直和。

Semilattice graded weak Hopf algebra is a special case of weak Hopf algebra and a generalization of Hopf algebras, in Section 1.3, we will give results and applications to the Maschke's and Dual Maschke's Theorem of semilattice graded weak Hopf algebra.

尽管有限Clifford幺半群的量子偶确实是有限群量子偶的一个推广,但是[L2]中的量子偶一般情况下是不能够看作是Hopf代数量子偶的一个推广,这是因为我们在[L2]中要求所有讨论的弱Hopf代数都是交换的。

Effect algebras were introduced as a mathematical model of quantum logic by American mathematicians Foulis and Bennett in 1994, which generalized ortho

1994年美国数学家Foulis和Bennett引进了效应代数概念,推广了正交模格,被看作是量子逻辑的数学模型。

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Vishnu entered a dark fourth dimensional dream that did not support his field or continued life.

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