幂零理想

词组短语

nilpotent ideal

与幂零理想相关的网络例句 [注：此内容来源于网络，仅供参考]

This paper mainly consider some basic theory of Frattini p-subalgebra of restricted Lie color algebra from four aspects.

首先，我们给出了关于限制李color代数的p-子代数，p-理想，p-幂零等几个基本定义，然后给出了几个重要定理，这是研究限制李color代数Frattini理论的重要依据。

Finally it is shown that if R is a ring with a nonzero local powerzero ideal then the matrix ring is a NCI ring.

最后证明了如果环R存在非零的局部幂零理想I那么R的全矩阵环Mn是NCI环。

If r is a super nil radical of a ring.

我们得到了以下主要结论：(1)如果r是环的一个超幂零根，A是一个广义矩阵环，则r是A的一个广义矩阵理想。

The following statements are proved:. A is equivalent to a diagonal matrix if and only if A is similar to a diagonal matrix.. If R is an APT ring, then A can be uniquely diagonalized as diag{e1,..., en} and ei divides ei+1.. R is an APT ring if and only if R/I is an APT ring, where I is a nilpotent ideal of R.

本文证明了以下结果：A相抵于一对角阵当且仅当A相似于一对角阵；若R是一APT环，则A在相似变换之下可唯一地化为对角形diag{e1，…，en｝，这里ei整除ei+1；R是APT环当且仅当R/I是APT环，这里I是环R的一幂零理想。

In the present paper,we investigate solvable radicals and Hopkins nilpotent radicals for Lie triple systems and prove that both radicals are invariant under actions of deriva- tions.

本文讨论李三系的可解根基和Hopking幂零的某些性质及导子作用下的不变性，讨论了李三系次理想的某些性质，证明了李三系为幂零的当且仅当每个子系都是次理想。

On the basis, three equivalent statements are obtained. Let S be a semigroup with left central idempotents, then (1) S is a quasi-right semigroup;(2) S is a quasi-completely regular, and RegS is an ideal;(3) S is a nil-extension of strong semilattice of right semigroup.

在此基础上得到了3个等价命题：若S为具有左中心幂等元半群，则(1) S为拟右半群；(2) S为拟完全正则的，RegS为S的理想；(3) S为右群强半格的诣零理想扩张。

First,we give some basic concepts of restricted Lie color algebra,for example,p-subalgebra,p-idea and p-nilpotent Lie color algebra.

然后，我们得到限制李color代数的Frattini子代数和Frattini p-子代数的基本性质并证得可解限制李color代数的Frattini子代数和Frattini p-子代数是两个幂零理想。

After giving the concept and some elementary properties of subideals of Lie triple system,the author shows that every subalgebra of a nilpotent Lie triple systems is a subideal and a Lie triple system is solvable if every subalgebra is a subideal.

证明了幂零李三系的子系数都是次理想；当李三系的所有子系数都是次理想时，该李三系是可解的。

与幂零理想相关的网络解释 [注：此内容来源于网络，仅供参考]

greatest lower cluster set：最大聚值集

greatest lower bound 最大下界,最大下限 | greatest lower cluster set 最大聚值集 | greatest nilpotent ideal 最大幂零理想

nilpotent Lie algebra：幂零李代数

幂零理想|nilpotent ideal | 幂零李代数|nilpotent Lie algebra | 幂零群|nilpotent group

nil radical：幂零根基

nil ideal 零理想 | nil radical 幂零根基 | nilalgebra 幂零代数

class of nilpotent group：幂零群类

理想(子环)族 class of ideals | 幂零群类 class of nilpotent group | 二次型类 class of quadraticforms

nilpotent ideal：幂零理想

nilpotent group 幂零群 | nilpotent ideal 幂零理想 | nilpotent matrix 幂零矩阵

locally nilpotent ideal：局部幂零理想

局部幂零根|locally nilpotent radical, Levitzki radical | 局部幂零理想|locally nilpotent ideal | 局部诺特概形|locally Noetherian scheme

largest nilpotent ideal：最大幂零理想

large-volume sprayer | 大容量喷雾机 | largest nilpotent ideal | 最大幂零理想 | largest observation | 最大观测值

greatest nilpotent ideal：最大幂零理想

greatest lower cluster set 最大聚值集 | greatest nilpotent ideal 最大幂零理想 | greatest north latitude 最大北黄纬

nilpotent matrix：幂零矩阵

nilpotent ideal 幂零理想 | nilpotent matrix 幂零矩阵 | nilpotent radical 幂零根基

locally nilpotent radical, Levitzki radical：局部幂零根

局部幂零代数|locally nilpotent algebra | 局部幂零根|locally nilpotent radical, Levitzki radical | 局部幂零理想|locally nilpotent ideal