一类Ф—满射环上正交群的自同构

Automorphism of Orthogonal Group of a Class of X—Suriective Rings

本文通过刻划幂等元,从而给出了可分解φ—满射环的定义,然后对此类环上的正交群 On(V)进行分解,再利用对合的方法确定了 On(V)的自同构形式。

In this Paper,we prove followtng theorem:Suppose R is a decomposible φ—Surfective ring,2,3,5 are units of R,V is a R—sym—metrtc inner Space,dtmv≥5,hyperbolic rank of V≥1,Let ∧ be a automorphism of O,(V), then ∧=P,φ.