Semisimplicity of Fixed Jordan Subrings of a Group of Jordan Automorphisms of a Ring R.

Abstract

환 R의 Jordan Automorphisms군에 대한 고정 Jordan 부분환이반단순환일때 환 R도 반 단순환이 됨을 보?눼?.

Let R be an associative ring and G be a group of some Jordan automorhisms of R. The semisimplicity of the fixed jordan subrings of G implies that R is semisimple where R is semiprime and right noetherian and │G│is a bijection on R.

Let R be an associative ring and G be a group of some Jordan automorhisms of R. The semisimplicity of the fixed jordan subrings of G implies that R is semisimple where R is semiprime and right noetherian and │G│is a bijection on R.