idempotent

in this article, we first establish the expression theory when the order of matrix is two by using two different ways, and then make a description of the general idempotent matrix

首先用两种不同的方法建立了二阶幂等矩阵的表现定理，进而对一般幂等矩阵作出刻划

on some equalities about the rank of idempotent matrices on skew field

关于除环上矩阵秩的几个等式

By means of the equality it is simpler to prove some properties of the adjoint matrix, especially for the idempotent and nilpotent matrices.

此外，应用这一等式，十分简洁地证明了关于伴随矩阵的若干性质.尤其是关于幂等和幂零阵的伴随阵的性质证明。

In cite [ 1], a usable partition of a group and idempotent orthogonal class system are defined, followed by its characterization and relative numerical method, dexterously applying the simultaneous diagonalization of matrices.

文[1]引进了群的有效分类及幂等正交类系统的概念，并巧妙地利用矩阵的同时对角化问题给出了一个有效分类的特征刻划及相对应的幂等正交类系统的计算方法。

each subgroup contains exactly one idempotent , namely the identity element of the subgroup.

每个子群精确的包含一个幂等元，也就是这个子群的单位元。

this idempotent ultrafilter enables us to find an appropriate infinite set.

这个幂等的超滤子能使我们找到一个适当的无限集。

idempotent preserving linear maps of matrix spaces of finite dimensional division algebra over real number field

实数域上有限可除代数矩阵空间保幂等的线性算子

It is proved that every nonzero ideal in a finite-dimensional semi-simple algebra over a field is generated by an unique central idempotent.

证明了域上有限维半单代数的每一个非零理想由唯一的中心幂等元生成。

This matrix is idempotent.

这个矩阵是等幂的.

for example, every nonempty finite semigroup is periodic, and has a minimal ideal and at least one idempotent.

例如，所有非空有限半群是周期性的，并有一个极小理想和至少一个幂等元。

It is obtained that the commutative completely idempotent algebra which has unit element and no zero factor is a extension field on F. The structure of two dimension completely idempotent algebra is given out.

本文首先得出哉F上有单位元无零因子交换完全幂等代数A是F的扩域的结论，给出域F上二维完全幂等代数的结构；

In this paper , we study nonnegative generalized idempotent matrices in detail.

本文给出了一般非负广义幂等矩阵的充要条件.

Using the idempotent obtained one can discuss quadratic residue code over Z__2_m to see whether it is similar to the ( quadra-) tic residue code over a finite field.

利用具有这些性质的幂等元可讨论环Z2m上的二次剩余码是否具有有限域上二次剩余码的性质。

The idempotent over polynomial residue class ring Z__2_m [ x]/ ( x~ p-1) and their expression and symmetric properties are discussed.

讨论了多项式剩余类环Z2m[x]/（xp-1）上的幂等元的表达式及对称性质。

In particular, we discuss the decomposition problem of idempotent booleanmatrice, and give all its square roots.

特别地，就幂等布尔矩阵的情况进行讨论，并用一种较简单的方法给出了它的所有平方根。

This model occupies some properties of additive standard synthesis function, namely, monotonic, limited and idempotent.

该模型具有数值可加型标准综合函数所具有的性质, 即单调性 、 有界性和幂等性.

Moore-Penrose generalized inverse and equalized conditions for the generalized real idempotent matrix

广义实幂等矩阵的几个等价条件和Moore-Penrose逆的求法

Blyth gave the construction of regular semigroups with a normal medial idempotent. The authors discuss in more detail the properties of medial idempotents on abundant semigroups and give the construction of abundant semigroups with a medial idempotent.

Blyth等人给出了具有中间幂等元的正则半群的结构，作者详细讨论富足半群上中间幂等元的性质，给出具有中间幂等元的富足半群的结构定理。

This method does not need to be either safe or idempotent.

该方法不需要安全或者等幂.

The GET method should also be idempotent, meaning that it can be safely repeated.

GET方法应该是等幂的, 意味着它可以安全地重复.

if it is finite and nonempty , then it must contain at least one idempotent.

如果它是有限和非空的，则它必须包含至少一个幂等元。

The Structure of N-order Idempotent of the Endomorphism Ring in the Linear Manifold

线性流形的自同态环的n级幂等结构

Three Mutually Orthogonal Idempotent Latin Squares Of Order 4K+ 2

三个相互正交的4K＋2阶幂等拉丁方