Localizations and completions of skew power series rings

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Feb 2010Embargo end date: 01 Nov 2007 English Publisher:Project MUSEJournal:American Journal of Mathematics, volume 132, pages 1-36 (eissn: 1080-6377,

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Authors: P. Schneider; O. Venjakob;

doi: 10.1353/ajm.0.0089 , 10.48550/arxiv.0711.2669

arXiv: 0711.2669

Localizations and completions of skew power series rings

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Abstract

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.

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Heidelberg University
Germany

Keywords

Mathematics - Number Theory, Rings and Algebras (math.RA), FOS: Mathematics, 16W60, 16W70, 11R23, Mathematics - Rings and Algebras, Number Theory (math.NT)

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