JP Journal of Algebra, Number Theory and Applications
Volume 6, Issue 1, Pages 1 - 9
(April 2006)
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SOME NOTES ON THE STRUCTURE OF GALOIS ALGEBRAS
George Szeto (U. S. A.) and Lianyong Xue (U. S. A.)
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Abstract: 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. |
Keywords and phrases: Galois extensions, Galois algebras, central Galois algebras. |
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