Localizations and completions of skew power series rings
This paper is a natural continuation of the study of skew power series rings A = R[[t; σ, δ]] 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 localizatio...
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| Hauptverfasser: | , |
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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
2010-01-28
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| In: |
American journal of mathematics
Year: 2010, Jahrgang: 132, Heft: 1, Pages: 1-36 |
| ISSN: | 1080-6377 |
| DOI: | 10.1353/ajm.0.0089 |
| Online-Zugang: | Resolving-System, Volltext: http://dx.doi.org/10.1353/ajm.0.0089 Verlag, Volltext: http://muse.jhu.edu/article/370795/pdf 
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| Verfasserangaben: | by Peter Schneider and Otmar Venjakob |
| Zusammenfassung: | This paper is a natural continuation of the study of skew power series rings A = R[[t; σ, δ]] 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 AS 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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| Beschreibung: | Gesehen am 14.02.2019 |
| Beschreibung: | Online Resource |
| ISSN: | 1080-6377 |
| DOI: | 10.1353/ajm.0.0089 |