It is proved that there exists a basis of linear space V with dimension n under which the matrix of every element of nilpotent algebra N generated by nilpotent linear transformations of V is a strictly upper triangular matrix.
用T(n,F)表示数域F上全体n阶严格上三角矩阵作成的幂零结合代数,证明了对于n维线性空间V,必存在V的一组基使得由V的幂零线性变换生成的幂零代数N中任意元素在该基下的矩阵均为严格上三角矩阵;由V的幂零线性变换生成的最大的幂零代数均同构于T(n,F)。
This paper introduces theσ_ automorphism for finite dimensional commutative associative algebras and studies the structure ofσ_ semisimple algebras andσ_ nilpotent algebras.
通过引入有限维交换结合代数的σ自同态映射，研究了σ半单代数和σ幂零代数的结构。
An algebraic quantity that when raised to a certain power equals zero.
幂零一个代数值，其若干次幂等于零
Cohomology and Nullcones of Jacobson-Witt Algebras;
Jacobson-Witt代数的上同调与幂零锥
Some Results on the Weak Nilpotent Element of N（2，2，0）Algebra;
关于N(2,2,0)代数的弱幂零元的若干结果
Maximal n-Nilpotent Lie Ideals of Nest Algebras
套代数中的极大的n-幂零Lie理想
The Derivation Algebras of Some Leibniz Algebras and Their Properties;
一些幂零Leibniz代数的导子代数及相关性质
Automorphisms of the Maximal Nilpotent Subalgebra of Type D_n Lie Algebras;
D_n型李代数的极大幂零子代数的自同构
A Quotient Algebra on N(2,2,0) Algebra (N(S),*,Δ,0);
由N(2,2,0)代数的幂零元集生成的一个商代数
Some Results on the Weak Nilpotent Element of N(2,2,0) Algebra;
关于N(2,2,0)代数的弱幂零元的若干结果(英文)
Relationship of P-radical and Nil-radical of Finite-dimensional Restricted Lie Algebra
有限维限制李代数P-根基和幂零根基的关系
The Finite Group that the Order of Maximal Nilpotence Subgroups are Prime Power
极大幂零子群的阶为素数幂的有限群
Derivations of the Standard Maximal Nilpotent Subalgebra of Lie Algebra of C_m Type over a Commutative Ring
交换环上C_m型李代数的标准极大幂零子代数的导子
Counting Number of Rational Points of Nilpotent Orbits of Reductive Lie Algebras in Finite Fields;
约化李代数的幂零轨道在有限域上有理点的个数
A very satisfactory answer can be given in terms of the appropriate analytic generalization of the algebraic concept of nilpotence.
将代数学中的幂零元概念作适当的解析学上的推广，可以绘出一个很满意回答。
The Integral Part of Powers of Real Quadratic Algebraic Integers;
一类实二次代数整数方幂的整数部分
And element X=A is nilpotent.
元素X＝A是幂零的。
One Kind of Special Functions Based on the Power Iteration and Their Applications
基于幂迭代的一类特殊函数及其应用
Maps on 2×2 matrix algebras preserving tripotence over fields
域上2×2矩阵代数保立方幂等的映射