Displaying similar documents to “Azumaya algebras of a ring with a finite automorphism group.”

Non-commutative separability and group actions.

Ricardo Alfaro (1992)

Publicacions Matemàtiques


We give conditions for the skew group ring S * G to be strongly separable and H-separable over the ring S. In particular we show that the H-separability is equivalent to S being central Galois extension. We also look into the H-separability of the ring S over the fixed subring R under a faithful action of a group G. We show that such a chain: S * G H-separable over S and S H-separable over R cannot occur, and that the centralizer of R in S is an Azumaya algebra in the presence of a central...