除幂代数,Divided power algebra
1)Divided power algebra除幂代数
2)nilpotent algebra幂零代数
1.It is proved that there exists a basis of linear space V with dimension n under which the matrix of every element ofnilpotent 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)。
英文短句/例句
1.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。
2.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
3.Cohomology and Nullcones of Jacobson-Witt Algebras;Jacobson-Witt代数的上同调与幂零锥
4.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
5.Maximal n-Nilpotent Lie Ideals of Nest Algebras套代数中的极大的n-幂零Lie理想
6.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
7.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
8.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
9.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)
10.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
11.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
12.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
13.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
14.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。
15.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
16.And element X=A is nilpotent.元素X＝A是幂零的。
17.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
18.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
相关短句/例句
nilpotent algebra幂零代数
1.It is proved that there exists a basis of linear space V with dimension n under which the matrix of every element ofnilpotent 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)。
3)Division of power series幂级数除法
4)nilpotent Lie algebra幂零李代数
1.With the concept of p r -Lie algebra,we explor the isomorphic classes of irreducible module of anilpotent Lie algebra.给出了ｐｒ－李代数的定义，证明了ｐｒ－李代数具有许多与限制李代数类似的性质，然后利用ｐｒ－李代数概念，讨论了一般幂零李代数不可约表示的同构类，得到了特征标为Ｓ的不可约表示同构类的个数，以及某些阶化李代数的阶化模的一些结
2.In this paper we explicitly determine the derivation algebras of a class of 3-stepnilpotent Lie algebras,and obtain some properties of the derivation algebras.具体确定了一类中心为二维的三步幂零李代数的导子代数,得到了导子代数的一些性质,并证明了这类幂零李代数是可完备化幂零李代数。
3.A new class ofnilpotent Lie algebras, called completeblenilpotent Lie algebras, arises from the study of complete Lie algebra.完备李代数的讨论导致了一类新的幂零李代数，称为可完备化幂零李代数。
5)σ_nilpotent algebrasσ-幂零代数
6)idempotent MV-algebra幂等MV-代数
延伸阅读
幂零Lie代数幂零Lie代数Lie algebra, nilpotent幂零lie代数【liealgebI’a.浦训t即t;瓜朋~。代Hm明盯e6Pal域k上满足下列等价条件之一的代数(司罗bla)g:l)有g的理想的有限降链{9.}。“、。，使得g。=g，g。={o}，且对o簇i
