-
Localizations and completions of skew power series rings
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 132, Number 1, February 2010
- pp. 1-36
- 10.1353/ajm.0.0089
- Article
- Additional Information
- Purchase/rental options available:
This paper is a natural continuation of the study of skew power series
rings $A=R[[t;\sigma,\delta]]$ initiated in an earlier work. We construct
skew Laurent series rings $B$ and show the existence of some canonical Ore
sets $S$ for the skew power series rings $A$ such that a certain
completion of the localization $A_S$ is isomorphic to $B.$ This is
applied to certain Iwasawa algebras. Finally we introduce subrings of
overconvergent skew Laurent series rings.