Localisations and completions of skew power series rings

Abstract: This paper is a natural continuation of the study of skew power series rings
A initiated in [11]. 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 localisation A_S is isomorphic to B: This is applied to certain Iwasawa
algebras. Finally we introduce subrings of overconvergent skew Laurent series rings. |