On Galois projective group rings

George Szeto and Linjun Ma

International Journal of Mathematics and Mathematical Sciences, 1991, vol. 14, 1-5

Abstract:

Let A be a ring with 1 , C the center of A and G ′ an inner automorphism group of A induced by { U α in ​ A / α in a finite group G whose order is invertible}. Let A G ′ be the fixed subring of A under the action of G ′ .If A is a Galcis extension of A G ′ with Galois group G ′ and C is the center of the subring ∑ α A G ′ U α then A = ∑ α A G ′ U α and the center of A G ′ is also C . Moreover, if ∑ α A G ′ U α is Azumaya over C , then A is a projective group ring.

Date: 1991
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:573120

DOI: 10.1155/S0161171291000145

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