斜幂级数环的局部化与完备化
Localisations and Completions of Skew Power Series Rings
摘要：
本文是[P. Schneider和O. Venjakob，On the codimension of modules over skew幂级数环及其在岩泽代数上的应用，J. Pure Appl. Algebra 204（2005），349 - 367.].构造了斜洛朗级数环B，并证明了斜幂级数环A的某些典型Ore集S的存在性，使得局部化A_S的某个完备化与B同构.这是适用于某些岩泽代数。最后引入了过收敛斜洛朗级数环的子环。
英文摘要：
This paper is a natural continuation of the study of skew power series rings A initiated in [P. Schneider and O. Venjakob, On the codimension of modules over skew power series rings with applications to Iwasawa algebras, J. Pure Appl. Algebra 204 (2005), 349 - 367.]. 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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