Non-commutative separability and group actions.

Título inglés Non-commutative separability and group actions.
Título español Separabilidad no conmutativa y acciones de grupo.
Autor/es Alfaro, Ricardo
Organización Dep. Math. Univ. Michigan-Flint, Flint (Michigan), Estados Unidos
Revista 0214-1493
Publicación 1992, 36 (2A): 359-367, 11 Ref.
Tipo de documento articulo
Idioma Inglés
Resumen inglés 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.
Código MathReviews MR1209807
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