idempotent element

P is any prime ideal in R,E(P)is a set of all idempotent elements of P.

(3)R/PE(P)为准体,其中P为R的任意素理想,E(P)为P的所有幂等元素组成的集合。

Idempotency of linear combinations of three idempotent matrices;

3个幂等矩阵线性组合的幂等性

In this paper,author makes a study on the characteristics of idempotent ma- trix and involution matrix,and computes the number of idempotent matrices and involu- tion matrices over finite field.

本文研究了幂等阵和对合阵的特性,并计算出有限域上幂等阵和对合阵的个数。

If Ф preserves commutative zero-products and Ф(FP)■FФ(P) and Ф(P)≠0 for every rank one idempotent operator P∈A,Then it has one of the following forms:an algebraic isomorphism,a conjugate algebraic isomor-phism,an algebraic anti-isomorphism and a conjugate algebraic anti-isomorphism.

若Ф保交换零积并且对所有的一秩幂等算子P∈A都有Ф(FP)FФ(P)和成立。

Speciality of idempotent element on finite semigroups;

有限半群周期元和幂等元的特征

The properties of idempotents that have not zero column in Sn;

S_n中不含零列的幂等元的性质

A subsemigroup generated by the idempotents of T_E(X) ZOU Ding-yu,PEI Hui-sheng,WANG Shi-fei;

T_E(X)的由幂等元生成的子半群

Idempotents and primitive idempotents have very important station in the ring.

幂等元与本原幂等元在环中有非常重要的地位与作用。

In the case of(Char(F_q),|G|)=1, we provide a method that writing down directly all the primitive idempotents of related polynomial ring,and hence that of all the minimum cyclic codes.

当有限域的特征不整除群的阶时,给出了直接写出相应的多项式环的本原幂等元的方法,从而可以直接写出所有的极小循环码。