冪零的 的英文怎麼說

中文拼音 [mìlíngde]
冪零的 英文
nilpotent
  • 冪 : Ⅰ名詞1. [書面語] （覆蓋東西的巾） cloth cover2. [數學] （表示一個數自乘若干次的形式） power Ⅱ動詞[書面語] （覆蓋; 罩） cover with cloth
  • 零 : Ⅰ數詞1 （零數） zero2 （數的空位） zero sign （0）; nought 3 （表示沒有數量;無） nil; nought 4 （...
  • 的 : 4次方是 The fourth power of 2 is direction
  1. A very satisfactory answer can be given in terms of the appropriate analytic generalization of the algebraic concept of nilpotence.

    將代數學中的冪零元概念作適當的解析學上的推廣，可以繪出一個很滿意回答。
  2. On idempotent and nilpotent matrices over commutative rings

    關于交換環上的冪等陣與冪零陣
  3. In this paper, we construct a class of indecomposable solvable lie algebras of dimension 5 with the simplest filiform nilradicals over complex field

    摘要構造了復數域上維數為5的以最簡線狀李代數為冪零根基的不可分解可解李代數。
  4. Theorem 2. 4 let g be a non - abelian inner - finite group, each non - trivial proper subgroup of g is prime order cyclic group if and only if g is a simple group ; each proper subgroup of g is nilpotent ; and each non - trivial subgroup of g is self - normalizer

    4設g是非阿貝爾的內有限群，則g的每個非平凡真子群都是素數階循環群的充分必要條件是g是單群， g的每個真子群冪零且g的每個非平凡的真子群自正規化定理2
  5. In 1996, guo [ 9 ] has further proved that the index of the normalizer of every sylow subgroup of g is an odd number or a prime if and only if g is a soluble group and g = kh, where k and h are the hall subgroups of g, k is a nilptent subgroup which is normal in a 2 ' - nilpotent. in this paper, we shall study the nilpotent length of finite groups whose sylow normalizer indices are of prime powers

    1996年，郭文彬教授沙1證明了一個群g的西洛子群的正規化子的指數為奇數或為一個素數冪當巨僅當g為可解群而且g二尤廳，其中k和h都是群g的hall一子群， k是正規于g的一個2 』一月恤21子群的冪零子群， h是2一冪零群。
  6. In this aspect, kondrat ' ev [ ll ] has shown that a group g is 2 - nilpotent if the normalizer of each sylow subgroup of g is of odd index in g. in 1995, zhang [ 13jhas proved that a group g is soluble if the index of the normalizer of every sylow subgroup in g is a prime power

    1988年， kondrat 』 ev卜11證明了:如果群g的任意西洛子群的正規化子在g中的指數為奇數，則g是2一冪零的。 1995年， zhang卜習證明了如果群g的任意西洛子群的正規化子有素數冪指數，則g是可解的。
  7. By using the properties of - hypercenter and - homogeneous, some sufficient and necessary conditions for a finite group to be - nilpotent are obtained. and some well - known theorems are generalized

    摘要利用-超中心和-齊次性的性質，對-冪零群作了較詳盡的研究，得到了有限群為-冪零群的幾個充要條件，推廣了一些著名的定理。
  8. In order to characterize the linear operators that strongly preserve nilpotence and that strongly preserve invertibility, we first study the case of the binary boolean algebra

    為了刻畫強保持冪零的線性運算元和強保持可逆的線性運算元，我們首先研究二元布爾代數上的情況
  9. By the means of the extension of linear operator, we characterize the linear operators that strongly preserve nilpotence and that strongly preserve invertibility over any boolean algebra

    再利用線性擴張這一工具，我們刻畫了在一般布爾代數上強保持冪零的線性運算元和強保持可逆的線性運算元
  10. Also, by the means of the pattern of matrix and the pattern of linear operator, we characterize the linear operators that strongly preserve nilpotence and that strongly preserve invertibility over antinegative commutative semirings without zero divisors

    另外，利用矩陣模式和運算元模式等工具，我們在非負無零因子半環上刻畫了強保持冪零的線性運算元和強保持可逆的線性運算元
  11. Characterization of graded prime radical of graded gamma ring

    半環上的冪零理想
  12. The finite group that the order of maximal nilpotence subgroups are prime power

    極大冪零子群的階為素數冪的有限群
  13. In this paper, the author goes on with the research of [ 1 ] and determines the structures of some groups in which some primary subgroups is s - normal

    在這篇文章中，我們將繼續文獻[ 1 ]的研究工作，利用素數冪階子群的s -正規性給出了一個群是可解群、 p -冪零和亞冪零群的一些條件結構。
  14. The nil radical for symplectic ternary algebras

    辛三代數的冪零根
  15. And element x=a is nilpotent.

    元素XA是冪零的。
  16. In section 4, in the case of finite and infinite non - nilpotent we mainly study the soluble structure of s ( a, c ) - groups

    最後主要研究非冪零的4 … …卜群，在有限和無限條件下得到了一些可解結構
  17. At the same time, we get some new characterization of supersolvable and nilpotent groups by introduce the new concepts of u ( g ) and v ( g ). the following theorems are some of the main results in this thesis. 1

    特別地，引進群g的兩個特徵子群u （ g ）及v （ g ） ，用這兩個子群來刻劃有限群的結構，得到了有限群超可解，冪零的一些充分條件，減弱了某些已知定理的條件
  18. And element x = a is nilpotent

    元素x a是冪零的。
  19. We prove that the strong and weak topological contractions for automorphisms of connected lie groups are equivalent. we also get that the connected lie group which admits a topological contractive automorphism must be a nilpotent lie group

    證明了連通李群自同構的強拓撲壓縮性質與弱拓撲壓縮性質等價；存在拓撲壓縮自同構的連通李群是冪零的。
  20. In l, the author gives main definitions and basic results what are needed in the paper. in 2, the author determines the structures of some groups by using s - normality of sylow subgroups and the maximal subgroups of sylow subgroups. there are the main theorems that 1 ) a group g is metanilpotent if and only if every sylow subgroup of g is s normal in g

    我們在1中將給出本文所需的主要概念和基本結果，在2中討論sylow子群、 sylow子群的極大子群的s -正規性對群的結構的影響，主要結論是1 ）群g是亞冪零的當且僅當g的每個sylow子群在g中s -正規。
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