Fixed Rings of Automorphisms on Fully Right Idempotent Rings

Abstract

fully right idempotent환의 고정환 R??는 다시 fully right idempotent ring이고 만약 R이 strongly semiprime환이면 R??는 항등원을 가지는 simple환들의 유한개의 direct 곱으로 표시된다.

A fixed ring R?? of a fully right idempotent ring is fully right idempotent where G is a finite group of automorphism and G is a bijection on R. Moreover, if R is strongly semi-prime ring, then R?? is strongly semi-prime ring and a finite direct sum of simple rings with identity.

A fixed ring R?? of a fully right idempotent ring is fully right idempotent where G is a finite group of automorphism and G is a bijection on R. Moreover, if R is strongly semi-prime ring, then R?? is strongly semi-prime ring and a finite direct sum of simple rings with identity.