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Non-commutative separability and group actions
Alfaro, Ricardo

Data: 1992
Resum: 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 afaithful 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 element of trace one.
Drets: Tots els drets reservats
Llengua: Anglès.
Document: article ; recerca ; publishedVersion
Publicat a: Publicacions Matemàtiques, Vol. 36, Núm. 2 (1992) , p. 359-367, ISSN 0214-1493

Adreça alternativa:
DOI: 10.5565/PUBLMAT_362A92_01
DOI: 10.5565/37703

10 p, 232.0 KB

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