Non-commutative separability and group actions.

Alfaro, Ricardo. "Non-commutative separability and group actions.." Publicacions Matemàtiques 36.2A (1992): 359-367. <http://eudml.org/doc/41717>.

@article{Alfaro1992,
abstract = {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.},
author = {Alfaro, Ricardo},
journal = {Publicacions Matemàtiques},
keywords = {-separability; strong separability; skew group rings; fixed ring; faithful action},
language = {eng},
number = {2A},
pages = {359-367},
title = {Non-commutative separability and group actions.},
url = {http://eudml.org/doc/41717},
volume = {36},
year = {1992},
}

TY - JOUR
AU - Alfaro, Ricardo
TI - Non-commutative separability and group actions.
JO - Publicacions Matemàtiques
PY - 1992
VL - 36
IS - 2A
SP - 359
EP - 367
AB - 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.
LA - eng
KW - -separability; strong separability; skew group rings; fixed ring; faithful action
UR - http://eudml.org/doc/41717
ER -