助手标题  
全文文献 工具书 数字 学术定义 翻译助手 学术趋势 更多
查询帮助
意见反馈
   基本子群 的翻译结果: 查询用时:0.046秒
图标索引 在分类学科中查询
所有学科
数学
更多类别查询

图标索引 历史查询
 

基本子群
相关语句
  basic subgroup
     A basic subgroup of an abelian torsion group is a very important notion in the theory of infinite groups. Robinson gave a basic subgroup of a group generated by cyclic groups.
     在无限群论中,可换挠群的基本子群是一个很重要的概念,Robinson曾给出了由一个循环P—群簇生成的挠子群的基本子群.
短句来源
  elementary subgroup
     Finally using the ∧-stable range condition which was introduced by Bak and Guo Ping Tang in their paper Stability for Hermitian K1, The author proves that the normality of elementary subgroup of hermitian group and the stability of hermitian AT,-group.
     最后利用Bak和唐国平在Stability For Hermitian K_1中引入的∧-稳定秩条件证明了一般厄米特群的基本子群的正规性及厄米特K_1-群的稳定性。
短句来源
     The Normality of Elementary Subgroup of the General Hermitian Group under ∧-Stable Range Condition
     ∧-稳定秩条件下一般厄米特群的基本子群的正规性
短句来源
     Then, we prove the existence of an elementary Eichler transformation in asubgroup which is normalized by elementary subgroup EU(M).
     然后借鉴[2]中的方法证明了酉群的一个被基本子群EU(M)正规化的子群中存在基本Eichler变换。
短句来源
     The authors have proved the normality of elementary subgroup of the general hermitian group by using the ∧-stable range condition which is a new one and weaker than both unitary stable range condition and absolute stable range condition.
     ∧-稳定秩条件是比酉稳定秩条件和绝对稳定秩条件都要弱的新的稳定秩条件,利用它证明了一般厄米特群的基本子群的正规性。
短句来源
     This thesis mainly works on the normality of elementary subgroup of Unitary group over almost commutative rings.
     本文主要对几乎可换环上酉群的基本子群的正规性进行了研究。
短句来源
更多       
  basic subgroups
     A KIND OF BASIC SUBGROUPS
     一类基本子群
短句来源
  “基本子群”译为未确定词的双语例句
     The normality of elementary subgroups of unitary groups
     酉群的基本子群的正规性
短句来源
     The hermitian forms plays an important role in the K -theory of forms, While it is necessary to discuss the general hermitian groups and its elementary subgroups for studying the AT, -functor and K2 -functor of the hermitian forms.
     厄米特型在型的K-理论中占有重要的地位,而讨论一般厄米特群及其基本子群是研究厄米特型的K_1-函子和K_2-函子所必须的。 本文首先简略地叙述了K-理论的起源、研究对象、在数学中发挥的作用及型的K-理论的发展历程和研究现状。
短句来源
     In Chapter Ⅱ, we introduce a Suslin' s famous result: when n≥3, the elementary group of general linear group of rank n is a normal subgroup.
     第二章介绍了Suslin给出的一个著名结果:当n≥3且系数环为可换环,则n阶一般线性群的基本子群是正规子群。
短句来源
     In Chapter Ⅲ, we introduce some special case of Unitary groups, and give out the normality of the elementary group of hyperbolic Unitary group.
     在第三章中,本文介绍了几类特殊的酉群和双曲空间上酉群U_(2n)(R,A)的基本子群的正规性定理。
短句来源
查询“基本子群”译词为用户自定义的双语例句

    我想查看译文中含有:的双语例句
例句
为了更好的帮助您理解掌握查询词或其译词在地道英语中的实际用法,我们为您准备了出自英文原文的大量英语例句,供您参考。
  basic subgroup
In the present paper, a basic subgroup and a lower basic subgroup of the -component and of the factor-group of the unit group in the modular group algebra are established, in the case when is weakly perfect.
      
Moreover, a lower basic subgroup and a basic subgroup of the normed -component and of the quotient group are given when is perfect and is arbitrary whose is -divisible.
      
Some other applications in this direction are also obtained for the direct factor problem and for a kind of an arbitrary basic subgroup.
      
Suppose F is a perfect field of char F = p ≠ 0 and G is an arbitrary abelian multiplicative group with a p-basic subgroup B and p-component Gp.
      
A group which contains a basic subgroup, is a prelattice group.
      
  elementary subgroup
We describe finite simple groups in which each elementary subgroup of order 8 lies in no more than one Sylow 2-subgroup.
      
Scand 91:214-220, 2002) the authors conjectured that a non-elementary subgroup in SL(2, C) containing parabolic and elliptic elements is discrete if and only if each two-generator subgroup generated by a parabolic and an elliptic element is discrete.
      
In this part, we recall foundations of the theory and study the elementary subgroup of the hyperbolic unitary group over a form ring.
      
We show that these divisors give the type stratification defined by the action of on theαp-elementary subgroup.
      
As an application, we give new direct proofs for normality of the elementary subgroup, description of normal subgroups and similar results due to E.
      
更多          
  basic subgroups
Torsion-free Abelian groups with cyclic p-basic subgroups
      
We investigate the structure of indecomposable torsion-free Abelian groups all of whose p-basic subgroups are cyclic, and also the structure of the groups and rings of endomorphisms of such groups.
      
We prove the existence of a torsion-free Abelian group of countable rank with cyclic p-basic subgroups which has no indecomposable nonzero direct summands.
      
All these concepts lead to the notion of prebasic submodules, which seems to be the right analogue of the basic subgroups in abelian groups.
      
A characterization of torsion abelian groups once basic subgroups have been chosen
      
更多          


This paper deals with some new description about complements of groups and in addition, semicomplete groups—an analogy to injective module in theory of groups.

本文给出弱补,交朴的概念,从而得出了群的补的新的刻划。此外,又引入了拟基本子群,证明了内射模在群论中的一个类似一半完全群。

A basic subgroup of an abelian torsion group is a very important notion in the theory of infinite groups. Robinson gave a basic subgroup of a group generated by cyclic groups. Here we try to generalize it.

在无限群论中,可换挠群的基本子群是一个很重要的概念,Robinson曾给出了由一个循环P—群簇生成的挠子群的基本子群.本文对此作了推广.

For an m×n(m≤n) matrix A over a commutative ring R, if A has a right inverse, then any solution of AX=0 can be expressed as a linear combination of finitely many solutions, each of them has at most m+1 nonzero coordinates. In particular,the module consisting of solutions of AX=0 is finitely generated and projective with constant rank n-m. It is a generalization of the wellknown result when m=1, which was used by Suslin as a key point to prove that the elementary subgroup En(R) is normal...

For an m×n(m≤n) matrix A over a commutative ring R, if A has a right inverse, then any solution of AX=0 can be expressed as a linear combination of finitely many solutions, each of them has at most m+1 nonzero coordinates. In particular,the module consisting of solutions of AX=0 is finitely generated and projective with constant rank n-m. It is a generalization of the wellknown result when m=1, which was used by Suslin as a key point to prove that the elementary subgroup En(R) is normal in GLn(R) if n≥3.

对交换环R上的有右逆的m×n(m<n)矩阵A,齐次线性方程组AX=0的任一解可以表示为有限多个特解的线性组合,其中每个特解的非零坐标不超过m+1.特别地,AX=0的解模是有限生成投射模.当m=1时这一众所周知的结果曾被Suslin用来证明当n≥3时基本子群En(R)是CLn(R)的正规子群这一著名定理.

 
<< 更多相关文摘    
图标索引 相关查询

 


 
CNKI小工具
在英文学术搜索中查有关基本子群的内容
在知识搜索中查有关基本子群的内容
在数字搜索中查有关基本子群的内容
在概念知识元中查有关基本子群的内容
在学术趋势中查有关基本子群的内容
 
 

CNKI主页设CNKI翻译助手为主页 | 收藏CNKI翻译助手 | 广告服务 | 英文学术搜索
版权图标  2008 CNKI-中国知网
京ICP证040431号 互联网出版许可证 新出网证(京)字008号
北京市公安局海淀分局 备案号:110 1081725
版权图标 2008中国知网(cnki) 中国学术期刊(光盘版)电子杂志社