查询词典 automorphisms

Set N be a maximal nilpotent subalgebra of D_n. In this paper, we determine all automorphisms of N.

在本文中我们将计算出这个极大幂零子代数N的所有自同构。

In Reference [3], Cao and Tan described the automorphisms of Lie algebra of the strictly upper triangular matrices over R which is a maximal nilpotent subalgebra of the A_n type classical simple Lie algebra.

在参考文献[3]中，曹和谭把由所有严格上三角矩阵所构成的李代数的自同构问题已经完整的解决了，而这样的李代数恰好就是A_n型李代数的一个极大幂零子代数。

The major technique to get the information of structure of those free groups is to sudy the action of automorphisms on them. In this paper we show that every normal automorphism of a nontrivial free product of groups is inner as well. Traub[16] made a purely algebraic conjecture and showed that it implied Poincare"s Conjecture. He also showed that Poincare"s Conjecture implied this algebraic conjecture modulo another topological hypothesis.

在本文中我们给出任意两个非平凡群的自由积的每个正规自同构也是内自同构的；在文献[16]中，Traub给出了一个纯代数的猜想并证明了这个猜想蕴含着着庞加莱猜想的成立，并且作者也证明了在一个拓扑假设的前提下庞加莱猜想也同时蕴涵着猜想1是成立的，后来这个拓扑假设被Waldhausen([7])证明是成立的。

In chapter 3,we will consider the automorphisms of triangular matrix algebras over commutative semirings.

利用矩阵的一些性质，克服了环上可逆矩阵在半环中未必可逆的难点，证明交换半环R上的n阶三角矩阵代数Tn的自同构都是内自同构。

Toral automorphisms mapping is a transform technology widely applied in digital image scramble.

花托自同构映射是一种变换技术，尤其多被用于数字图像置乱。

On certain condition the result can be reverted by controlling the transformation time because of the periodicity of the toral automorphisms transformation.

由于花托自同构映射变换在一定条件下具有周期性，使得通过控制变换的次数可以实现还原。

In this paper,we mainly study the automorphisms of matrix algebras over semirings.

本文主要研究半环上矩阵代数的自同构，共分四章。

The automorphisms of matrix algebras and their subalgebras are one of important subject in matrix theory.

矩阵代数及其子代数的自同构是矩阵理论研究领域中的一个非常活跃和成果丰硕的课题。

In the first chapter, we give a detailed introduction of recent developments in derived categories, Moritas equivalence theory, derived equivalence theory, recollements and mutations, automorphisms of Lie algebras, and so on.

第一章我们对与论文有关的研究方向，包括导出范畴，Morita等价理论，导出等价理论和李代数自同构等发展动态做尽可能详细的介绍。

In 1927,Skolem obtained the famous Skolem-Noether theory:the automorphisms of the n × n matrix algebra over a field are inner.

早在1927年，Skolem就获得了著名的Skolem-Noether定理：域上的矩阵代数的自同构皆为内自同构。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。