As a main tool we prove a Weierstrass preparation theorem for certain skew power series rings. One striking result in our work is the discovery of the abundance of faithful torsion modules, i.e. non-trivial torsion modules whose global annihilator ideal is zero. Finally we show that the completed group algebra with coefficients in the finite field of p elements is a unique factorization domain in the sense of Chatters.

- skew.dvi (178404 bytes) [2002 Apr 12]
- skew.dvi.gz (70247 bytes)
- skew.ps.gz (173004 bytes)

Otmar Venjakob <otmar@mathi.uni-heidelberg.de>