An Open Mapping Theorem for rings which have a zero sequence of units

2014/07/21 by Timo Henkel, Henkel, T. · 1 citation
Mathematics · #13J10 #14G22 (Primary) 16W80 #46A30 #46S10 (Secondary) #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical and Theoretical Analysis #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.1407.5647

openalex publication_date 2014/07/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper provides an Open Mapping Theorem for topological modules over rings that have a zero sequence consisting of units. As an application it is shown that there is a unique complete and metrisable topology on finitely generated modules over certain topological rings (e.g. over complete noetherian Hausdorff Tate rings).

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