零理想

If R admits a generalized derivation δ with d=0 such that either δ=x°y or δ+x°y=0 holds for all x,y∈I,and if δ is not the identity map,then R is commutative.

设R是素环，I是R的非零理想，如果R容许一个非单位映射的左乘子使得对所有x，y∈I满足δ=x°y或δ+x°y=0，那么R可交换。

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。

In this paper, we put forward a new kind of mechanism based on the analysis of the movement regularity of traditional horizontal reciprocating compressor which combined both magnetic suspension technique and linear driving technique. It takes advantage of the magnetic field force acted on the plunger, which will generates moment of couple to balance the corresponding moment ...

分析了传统卧式往复压缩机活塞连杆运动的规律，设计了一种集磁悬浮和线性驱动技术为一体的往复磁悬浮式压缩机机构，该机构利用作用于活塞连杆上的磁场力，使其力偶矩与连杆活塞的重力矩相平衡，使活塞对缸体的正压力趋向于零或等于零的理想状态，从而使摩擦副间的摩擦力达到最小。

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。

When I is a primary ideal or a zero-dimensional primary ideal ,the properties of I∶f and I∶〈f1,…, fr〉are studied; and the important conclusion was gotten when I is a P-prime ideal, I∶〈f1,…,fr〉= R or is also a P-prim.

并讨论了当I是准素理想、零维准素理想时，I∶f与I∶〈f1，…，fr〉的性质；得到了以下重要结论：当I是P-准素理想，则I∶〈f1，…，fr〉=R或是P-准素理想。

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。

It is shown that if L is a subalgebra of a Lie color algebra Q, then Q is an algebra of quotients of L if and only if Q is ideally absorbed into L.

利用没有非零零化子的理想对Lie color代数的商代数进行刻画，证明了：若L为Lie color代数Q的子代数，则Q为L的商代数当且仅当Q理想吸收于L。

An ring R is said to be the middle superprime ring, if every non - zero ideal of R contains an non - zero element c, which is not middle divisor of zero.

一个环R称为中间超素环，如果它的每个非零理想都包含一个非零元素，它不是中间零因子。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。