线性流形的自同态环的n级幂等结构

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

本文讨论线性流形的自同态环R(F、A)的幂等元及n级幂等元的结构,从而得到了线性空间中各维线性平移子空间——线性流形的幂等自同构映射的结构。

In this paper,We discuss the structure of n-order idempotent element and the idemp-otent element of the endomorpkism ringR(F,A) of the linear manifold,so that We ha-ve obtained the subspace of each dimensional linear translation in the linear space-the structure of idempotent self-isomorphic mapping in the linear manifold.