Localisations and completions of skew power series rings

       Autors: P. Schneider, O. Venjakob
       Titel:  Localisations and completions of skew power series rings
       Jahr:
       Seiten:
       In: Am. J. Math. 132 (2010), no. 1, 1 -- 36
     

      
      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.

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