New asymptotic formulas for the distribution of left ideals of orders.
Non-commutative separability and group actions.
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...
Non-free Projective Modules Over IH[X, Y] and Stable Bundles Over IP2(...).
Notes on Galois extensions with inner Galois groups.