SOME NOTES ON THE STRUCTURE OF GALOIS ALGEBRAS
Let B be a Galois algebra over a commutative ring R with Galois group G. Then B is a direct sum of Galois algebras such that each direct summand is a composition of a central Galois algebra and a commutative Galois algebra. A sufficient condition is also given under which B is commutative.
Galois extensions, Galois algebras, central Galois algebras.
