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- W1984214514 abstract "A division subring Γ of a division ring Δ is said to be Galois in Δ (and Δ is Galois over Γ) if Γ is the set of invariants (or fixed points) of a group of automorphisms acting in Δ. The two dimensional Galois extensions of a division ring have been determined by Dieudonné.2 In this note we shall show that if Γ is a division ring of characteristic ≠ 2 which is finite dimensional over its center Ψ and Δ contains Γ and has left dimensionality [Δ:Γ] L = 2 then Δ is Galois over Γ On the other hand, we shall construct a class of examples where [Δ: Γ] L = 2 = [Δ:Γ] R , Γ of characteristic ≠ 2 and Δ is not Galois over Γ." @default.
- W1984214514 created "2016-06-24" @default.
- W1984214514 creator A5016016515 @default.
- W1984214514 date "1989-01-01" @default.
- W1984214514 modified "2023-09-23" @default.
- W1984214514 title "A Note on Two Dimensional Division Ring Extensions" @default.
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- W1984214514 doi "https://doi.org/10.1007/978-1-4612-3694-8_18" @default.
- W1984214514 hasPublicationYear "1989" @default.
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