Non-commutative separability and group actions

Autores: Ricardo Alfaro
Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 36, Nº 2, 1, 1992 (Ejemplar dedicado a: la memória de Pere Menal i Brufal), págs. 359-367
Idioma: inglés
DOI: 10.5565/publmat_362a92_01
Títulos paralelos:
- Separabilidad no conmutativa y acciones de grupo
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Resumen
- 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 element of trace one.