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Pàgina inicial > Articles > Articles publicats > Non-commutative separability and group actions |
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 ; Versió publicada |
Publicat a: | Publicacions matemàtiques, Vol. 36, Núm. 2 (1992) , p. 359-367, ISSN 2014-4350 |
10 p, 232.0 KB |