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paper

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

arXiv:1407.5647

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).

12 pages