automorphisms

与automorphisms相关的网络例句 [注：此内容来源于网络，仅供参考]

The norm N of a group G is a characteristic subgroup of G consisting of elements which induce power automorphisms on G.

所谓群G的Norm N是G中诱导G的幂自同构的全体元素构成的G的一个特征子群。

In this paper,some properties of automorphisms of classical Lie algebras was given first and then a classification of conjugacy automorphisms using only the matrix theory was presented.

首先给出了典型李代数自同构的一些性质，接着用矩阵的形式具体给出典型李代数自同构共轭的充要条件，并计算了任意阶自同构的不动点集。

The article roughs out some result about the mapping class group of a toms,including a classical theorem about the classification of all automorphisms of a toms.

文章介绍了关于环面的映射类群的一些结果，包括环面到自身的自同胚类的分类的经典结果。

In chapter 5, local derivations and local automorphisms of nest subalgebras in von Neumann algebras and local higher cohomology -local 2-cocycles are studied. It is proved that every weakly continuous local derivation, respectively, every weakly local automorphism, of nest subalgebra of a factor von Neumann algebra is a derivation, respectively, an automorphism. Every norm continuous local derivation, respectively, every norm local automorphism, of the nest subalgebra associated to a countable nest in a factor von Neumann algebra is a derivation, respectively, an automorphism. Moreover, it is answered Larson's question. Finally, it is shown that every local 2-cocycle of any von Neumann algebra is a 2-cocycle.

第五章研究von Neumann代数中套子代数的局部导子和局部同构以及von Neumann代数的高维局部映射—局部2-上循环，证明了因子von Neumann代数中套子代数的每一个局部强连续导子和局部强连续同构分别是导子和同构；可数套所对应的套子代数的每一个有界局部导子和有界局部同构分别是导子和同构；同时，部分回答了Larson所提的问题；最后，得到von Neumann代数的每一个局部2-上循环是2-上循环。

As an application, we also describe the Jordan automorphisms of the algebra of upper triangular matrices over commutative rings, and give a sufficient and necessary condition for a commutative ring being connected.

作为应用，我们还刻划了交换环上的上三角矩阵代数的Jordan自同构，并给出了一个交换环是连通环的充要条件。

与automorphisms相关的网络解释 [注：此内容来源于网络，仅供参考]

group of automorphisms：自同构群

group object 群对象 | group of automorphisms 自同构群 | group of coefficients 系数群

group of automorphisms：自同购群

解析变换群 group of analytic transformations | 自同购群 group of automorphisms | 类群 group of classes

set of automorphisms：自同构集

"集合出现选择","set occurrence selection" | "自同构集","set of automorphisms" | "复合体特徵集","set of complex features"