The general Ikehata theorem for H -separable crossed products

George Szeto and Lianyong Xue

International Journal of Mathematics and Mathematical Sciences, 2000, vol. 23, 1-6

Abstract:

Let B be a ring with 1 , C the center of B , G an automorphism group of B of order n for some integer n , C G the set of elements in C fixed under G , Δ = Δ ( B , G , f ) a crossed product over B where f is a factor set from G × G to U ( C G ) . It is shown that Δ is an H -separable extension of B and V Δ ( B ) is a commutative subring of Δ if and only if C is a Galois algebra over C G with Galois group G | C ≅ G .

Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:495757

DOI: 10.1155/S0161171200003124

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