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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,   CG the set of elements in C fixed under G,   Δ=Δ(B,G,f) a crossed product over B where f is a factorset from G×G to U(CG). It is shown that Δ is anH-separable extension of B and VΔ(B) is a commutativesubring of Δ if and only if C is a Galois algebra overCG with Galois group G|C≅G

international journal of mathematics and mathematical sciences

The general Ikehata theorem for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$H$"><mml:mi>H</mml:mi></mml:math>-separable crossed products

The general Ikehata theorem forH-separable crossed products