1) Nilpotent radical
幂零根基
1.
The automorphism group of finite_dimensional solvable complete Lie algebra whose nilpotent radical is a Heisenberg algebra over the complex field C is given.
给出了复数域Ｃ上幂零根基为Ｈｅｉｓｅｎｂｅｒｇ代数的有限维可解完备李代数的自同构
2.
In this paper, the derivation algebras of splittable Lie algebras with abelian nilpotent radicals are obtained.
确定了具有交换幂零根基的可裂Ｌｉｅ代数的导子代数，作为推论给出了具有交换幂零根基的完备Ｌｉｅ代数的结构。
3.
In this paper,the authers prove that if H is a Heisenberg algebra,then there exists one and only one up to isomorphism solvable complete Lie algebra whose nilpotent radical is H,and give the realization of this kind of complete Lie algebras.
证明了给出一个Ｈｅｉｓｅｎｂｅｒｇ代数Ｈ，在同构的意义下存在且仅存在一个以Ｈ为幂零根基的可解完备Ｌｉｅ代数，我们给出了这类完备Ｌｉｅ代数的具体实现，并指出当ｄｉｍＨ＞３时，这类完备Ｌｉｅ代数是非极大秩可解完备Ｌｉｅ代数。
2) p-nilpotent radical
p-幂零根基
3) quasi-nilpotent radical
拟幂零根
1.
in this paper,the notions of nilpotent radical and quasi-nilpotent radical of Prings are introducted,some conditions of nilpotent radical exist are represented and quasinilpotent radical is Amitsur-Kurosh radical is proved.
定义了г－环的幂零根和拟幂零根，给出幂零根存在的若干条件，证明拟幂零根是Ａｍｉｔ－ｓｕｒ－Ｋｕｒｏｓｈ根，给出它的半单г－环的构造命题和г－模刻划。
4) nil radical
幂零根
1.
The concept of nilpotent ideals of Malcev algebras,which is a generalization of the concept of nilpotent ideals of Lie algebras,is defined,the existence of a nil radical is proven,and the relationship between the nilpotent ideals of Malcev algebras and that of its standard construction is examined.
作为李代数的幂零理想的推广 ,定义了马尔策夫代数的理想 ,证明了对这样定义的幂零理想存在惟一的幂零根 ,并且研究了马尔策夫代数中的幂零理想与其标准构造 (李代数 )中的幂零理想之间的关系 。
2.
The author has defined the nil radical of the symplectic termary algebra, investigated the relation of the nil radical and the solvable radical and discussed the relation of the two nil radicals of the symplectic ternary algebra and it s lie triple system.
给出了幂零的定义 ,得到了辛三代数的幂零根与可解根之间的关系和辛三代数与其生成的李三系的幂零根之间的关
5) nilpotent radical
幂零根
1.
In this paper, the Nil radicals and nilpotent radicals of split Lie algebras are sudyied.
对可裂李代数的Nil 根和幂零根进行研究 ,从结构和表示两方面给出了它们相等的两个条件 。
2.
in this paper,the notions of nilpotent radical and quasi-nilpotent radical of Prings are introducted,some conditions of nilpotent radical exist are represented and quasinilpotent radical is Amitsur-Kurosh radical is proved.
定义了г－环的幂零根和拟幂零根，给出幂零根存在的若干条件，证明拟幂零根是Ａｍｉｔ－ｓｕｒ－Ｋｕｒｏｓｈ根，给出它的半单г－环的构造命题和г－模刻划。
6) Fuzzy nilradical
F幂零根
补充资料：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
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参考词条