环自同构的不动点

Fixed point of automorphism of ring

在环自同构中引入不动点的概念,并对环自同构不动点的性质,存在性等做了探究,得到了环自同构不动点的若干性质,及环自同构存在非零元不动点的若干等价条件,通过环自同构不动点对环的结构进行了刻画.

In this paper,we introduce the notion of the fixed point of ring automorphism,make preliminary research about properties and existence of the fixed point of ring automorphism,and obtain some properties of fixed point of ring automorphism and some equivalent conditions of existence of non-zero fixed point of ring automorphism.By the fixed point of ring automorphism we characterize the structure of ring.