This article is cited in 7 papers

Galois subrings of simple rings

V. K. Kharchenko

Institute of Mathematics, Siberian Branch of USSR Academy of Sciences

Abstract: Suppose $R$ is a finite direct sum of simple associative rings and $G$ is a finite group of auto-morphisms of the ring $R$. It is shown that if there is no additive $|G|$-torsion in $R$, then the subring of elements of $R$ that are fixed under $G$ is a finite direct sum of simple rings.

UDC: 519.48

Received: 01.10.1974

 English version: Mathematical Notes, 1975, 17:6, 533–536

Bibliographic databases:

• 
•