Geodesic
Galois subrings of simple rings
Matematičeskie zametki, Tome 17 (1975) no. 6, pp. 887-892

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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. 
@article{MZM_1975_17_6_a5,
     author = {V. K. Kharchenko},
     title = {Galois subrings of simple rings},
     journal = {Matemati\v{c}eskie zametki},
     pages = {887--892},
     publisher = {mathdoc},
     volume = {17},
     number = {6},
     year = {1975},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1975_17_6_a5/}
}
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V. K. Kharchenko. Galois subrings of simple rings. Matematičeskie zametki, Tome 17 (1975) no. 6, pp. 887-892. http://geodesic.mathdoc.fr/item/MZM_1975_17_6_a5/