Affiliation:
1. Institut de Recherche Mathématique de Rennes, UMR 6625 du CNRS Université de Rennes 1, Campus de Beaulieu, 35042 Rennes Cedex (France)
Abstract
In this paper, we establish a criterion for every complete separated linearly topologized ring to be isomorphic to a ring of power series, i.e. to be a cylinder over another complete topological ring. We use this criterion to establish a general statement of cancellation in the category of local complete but non-necessarily adic topological [Formula: see text]-algebras.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Algebra and Number Theory
Reference15 articles.
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