nilpotent,英語單詞,主要用作形容詞、名詞,作形容詞時譯為“[數] 冪零的”,作名詞時譯為“冪零”。
基本介紹
- 外文名:nilpotent
- 詞性:形容詞、名詞
- 英式發音:[nɪl'pəʊt(ə)nt]
- 美式發音:[nɪl'potənt]
nilpotent,英語單詞,主要用作形容詞、名詞,作形容詞時譯為“[數] 冪零的”,作名詞時譯為“冪零”。
超限冪零(transfinite nilpotent)詣零性概念的擴展.簡稱T冪零.設S是環IZ的一個子集,若S中任意序列at }a2, ".. }a,} } "..,都存在正整數n,使得a}aZ...a一。(或a,}un-l...a!一。),則稱S是左(或右)T冪零.T...
冪零李代數(nilpotent Lie algebra)類似於一般代數中的冪零代數。定義 冪零李代數(nilpotent Lie algebra)類似於一般代數中的冪零代數。定義1 若L為特徵為0的域k上的有限維李代數,若對任意X∈L,adX是L的冪零自同態,則L稱為冪...
6.3. Nilpotent Lie Algebras of Class 2 6.4. Exponential Lie Groups and Lie Algebras 6.5. Lie Algebras and Lie Groups of Type (I)7. Linearizability Criterion for Solvable Lie Groups Chapter 3. Complex Semisimple Lie...
若環的理想是局部冪零環,則稱此理想為局部冪零理想(locally nilpotent ideal)。環 R 的所有局部冪零理想的和 L(R) 為 R 的最大局部冪零理想,稱為 R 的局部幕零根或列維茨基根(Levitzki radical)。冪零根 [nilpotent radical]...
11.2 Commutators, Nilpotent and Solvable Lie Groups 11.3 The Automorphism Group of a Lie Group 12 Compact Lie Groups 12.1 Lie Groups with Compact Lie Algebra 12.2 Maximal Tori in Compact Lie Groups 12.3 ...
擬冪零運算元(quasi-nilpotent operator)是冪零運算元概念的推廣,又稱為廣義冪零運算元。簡介 擬冪零運算元是冪零運算元概念的推廣,又稱為廣義冪零運算元。賦范線性空間上有界線性運算元T稱為擬冪零運算元,如果 性質 復巴拿赫空間上擬冪零運算元的...
Chapter 12 Essentially Nilpotent Lie Algebras 153 12.1 Two Problems on operator Lie algebras 153 12.2 Nilpotent Lie algebras generated by decomposable operators 154 12.3 Lie algebras generated by quasinilpotent operators 156 ...
超冪零根(supernilpotent radical)一類重要的根性質一種根性質男,若適合下述條件:男是遺傳的,每個冪零環都是J根環,則稱男為超冪零根.超冪零根的半單類是本質擴張閉的,並且半單類中每個環都是半素環,即不含非零的冪零理想...
[48]W.Q. Xu(phd stedent), S.F. Du, J.H. Kwak, J.Lei, K.N. Shi, On nilpotent orientably-regular maps ofnilpotency class 4, Electron. J.Combin. 29 (2022)(2), PaperNo. 2.55, 15 pp. (SCI)[47] Y...
10 Center—Focus Problem and Bifurcations of Limit Cycles for Three—Multiple Nilpotent Singular Points 10.1 Criteria of Center—Focus for a Nilpotent Singular Point 10.2 Successor Functions and Focus Value of Three—Multiple...
17.NilpotentandSolvableGroups 17.1 AGroup-TheoreticLemma 17.2 CommutatorGroups 17.3 SolvableGroups 17.4 NilpotentGroups 17.5 UnipotentGroups 17.6 Lie-KolchinTheorem 18.SemisimpleElements 18.1 GlobalandInfinitesimalCentralizers...
2. Generic Distributions and Sets of Vector Fields, and Degeneracies of Small Codimension. Nilpotentization and Classification Problem 2.1. Generic Distributions 2.2. Normal Forms of Jets of Basic Vector Fields of a Generic...
CHAPTER 5 Soluble and Nilpotent Groups CHAPTER 6 Free Groups and Free Products CHAPTER 7 Finite Permuation Groups CHAPTER 8 Representations of Groups CHAPTER 9 Finite Soluble Groups CHAPTER 10 The Transfer and Its ...
3. SolvableandnilpotentLiealgebras Ⅱ. SEMISIMPLELIEALGEBRAS 4. TheoremsofLieandCaftan 5. Killingform 6. Completereducibilityofrepresentations 7. Representationsofsi(2,F)8. Rootspacedecomposition Ⅲ. ROOTSYSTEMS 9. Axiomatics ...