The general Ikehata theorem for H-separable crossed products
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 factor set from G×G to U(CG). It is shown that Δ is an H-separable extension of B and VΔ(B) is a...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2000-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171200003124 |
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| Summary: | 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 factor
set from G×G to U(CG). It is shown that Δ is an
H-separable extension of B and VΔ(B) is a commutative
subring of Δ if and only if C is a Galois algebra over
CG with Galois group G|C≅G. |
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| ISSN: | 0161-1712 1687-0425 |