1. What is nilpotent structure on Riemannian manifold?
黎曼流形上的幂零结构指什么？
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2. Moreover, we shall discuss some properties of nilpotent exponents.
此外，本文还讨论了幂零指数的若干性质。
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3. This article discussed the nilpotent matrix related nature from the matrix different angle.
本文从矩阵的不同角度讨论了幂零矩阵的相关性质。
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4. By researching nilpotent matrix rank, a solution is obtained for general matrix power rank.
通过对幂零矩阵的秩的研究，给出了一般方阵幂的秩的求法。
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5. A class of cubic differential system is studied in this paper, in which origin is nilpotent singular point.
研究了一类原点为三次幂零奇点的三次微分系统。
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6. In this paper, we present a new minimal spectrally arbitrary pattern by using the Nilpotent-Jacobian method.
作者在文中给出了一个新的极小谱任意符号模式。
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7. In this paper, the finite non-nilpotent group with every non-abelian subgroup being subnormal is investigated.
研究了每一非交换子群皆为次正规的有限非幂零群的结构。
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8. This paper first presents the definition of nilpotent matrix and then moves on to discuss certain properties of them.
本文先给出幂零矩阵的定义，然后讨论了它的若干性质。
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9. Burnside asserts, if any sylow p-subgroup P of a finite G lies in the center of its normalizer, then G isp-nilpotent.
群论研究的一个重要问题是对有限群的p—幂零性对有限群结构的影响。
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10. The bounds of nilpotent lengths of finite groups with normalizers of primary subgroups having prime power indices are obtained.
给出了所有准素子群的正规化子有素数幂指数的有限群的幂零长的界。
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11. We reprove the following theorem with a simpler means: theorem: let a is the solvable algebra, then a is the local nilpotent algebra.
用一种简单的方法重新证明了以下定理：定理：假设A是可解的交错代数，则A是局部幂零的交错代数。
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12. In this paper, we define the local nilpotent radical of a semigroup having kernel and prove some properties which is similar to rings.
本文定义了有核半群的局部幂零根，并证明了与环相近的一些性质。
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13. In this paper, we mainly discuss the enumeration problem of the equivalence class of 3-nilpotent matrix defined in normal number fields.
主要对定义在一般数域上的3 -幂零矩阵的相似等价类的个数问题进行探讨。
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14. The nilpotent matrix nature and applies the abstract: The nilpotent matrix is a kind of special matrix, has the vital role in the matrix theory.
幂零矩阵性质及应用摘要：幂零矩阵是一类特殊的矩阵，在矩阵理论中有重要的作用。
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15. The Nature And Application Of Nilpotent Matrix Summary: Nilpotent matrix is a special type of matrix that has an important place in matrix theory.
幂零矩阵性质及应用摘要：幂零矩阵是一类特殊的矩阵，在矩阵理论中有重要的作用。
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16. A class of solvable 3-lie algebras with a 5-dimensional maximal hypo-nilpotent ideal, which is a 5-dimensional simplest filiform 3-lie algebra, is constructed.
17. In this paper we explicitly determine the derivation algebras of a class of 3-step nilpotent Lie algebras, and obtain some properties of the derivation algebras.
18. In the chapter 2, the author introduce two methods that method a sign pattern matrix is spectrally arbitrary, the structure method and Nilpotent-Jacobi method with examples.
第二章通过举例介绍了两种证明符号模式矩阵是谱任意的方法——构造法和幂零-雅可比方法。
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19. It is theoretically important to solve the problems of decomposition of automorphisms of solvable subalgebra and nilpotent subalgebra of matrix algebra over commutative rings.
交换环上矩阵代数的可解子代数和幂零子代数的自同构分解问题是一类重要的具有理论意义的研究课题。
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20. I analyse some conclusions of spectrum arbitrary and give two sign patterns. then I prove two classes sign pattern matrix that are spectrally arbitrary using Nilpotent-Jacobi method.
21. The purpose of this paper is to determine construction of groups with nilpotent derived group, and then to obtain some properties similar to the class of nilpotent and supersoluber groups.
22. In this paper, the author researches the linear relation defined by a same nilpotent index in the independent vectors, obtains the distribution rule of the nilpotent indices on an arbitrary basis.
研究了线性无关的向量组在同一级幂零指数上的线性关系，得到幂零指数在线性空间的基向量上的分布规律。
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23. In this paper, the author researches the linear relation defined by a same nilpotent index in the independent vectors, obtains the distribution rule of the nilpotent indices on an arbitrary basis.
