英语释义

• equal to zero when raised to a certain power

片语

nilpotent index幂零指数

nilpotent product幂零积

groupe nilpotent幂零群

local nilpotent局部幂零

nilpotent derivations幂零导子

-nilpotent幂零

locally nilpotentIn the mathematical field of commutative algebra, an ideal I in a commutative ring A is locally nilpotent at a prime ideal p if Ip, the localization of I at p, is a nilpotent ideal in Ap.

idempotent nilpotent幂等

characteristically nilpotent特征幂零

英汉例句

• 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。

• filiform lie algebras are a class of special nilpotent lie algebras.

  线状李代数是一类重要的幂零李代数。

• 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.

  本文拟对后一类群作一较系统地刻划。我们先对该群类的极小反例的各种可能结构给以分析并确定，据此得出该群类的类似前二群类的一些性质。文?。

• 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。

• 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。

• using the concept, c-normal subgroups and m-normal subgroups, we get some interesting result about the solvability, p-closed and nilpotent of finite groups.

  本文利用c正规子群及m正规子群的性质刻划有限群的可解性、p闭性、幂零性。

• let l be transitive on v (g) and nilpotent , then g has two disjoint maximal independent sets .

  设l在v（g）上可迁且为幂零群，则g有两个不相交的极大独立点集。

• 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。

• 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。

• 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。

• by the feature of the nilpotent matrix, the simple method for solving the inverse matrix of some special matrix is given in the present paper.

  利用幂零矩阵的特性，给出了求一些特殊矩阵逆矩阵的简单方法。

• 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。

• in this paper, we investigate the solvability of finite groups by using some semi normal nilpotent subgroups.

  本文利用某些幂零子群的半正规性，讨论有限群的可解性，所得结果统一推广了王品超、赵耀庆的若干结果。

• 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。

• 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。

• in this note, a characterization of the graded nilpotent radical of general group graded rings was established.

  本文给出了一般群分次环的分次幂零根的一个刻划。

• what is nilpotent structure on riemannian manifold?

  黎曼流形上的幂零结构指什么？

• the bounds of nilpotent lengths of finite groups with normalizers of primary subgroups having prime power indices are obtained.

  给出了所有準素子群的正规化子有素数幂指数的有限群的幂零长的界。

• 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。

• however, the properties of nilpotent matrix have not been much explored although its definition is given in discussing the multiplication of matrix.

  在高等代数中矩阵是研究问题很重要的工具，在讨论矩阵的乘法运算时给出了幂零矩阵的定义，但对其性质研究很少。