LOCALIZATIONS AND COMPLETIONS OF SKEW POWER SERIES RINGS

作者:Schneider Peter*; Venjakob Otmar
来源:American Journal of Mathematics, 2010, 132(1): 1-36.

摘要

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.

  • 出版日期2010-2