English

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

Functional Analysis 2014-10-08 v2 Algebraic Geometry

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).

Keywords

Cite

@article{arxiv.1407.5647,
  title  = {An Open Mapping Theorem for rings which have a zero sequence of units},
  author = {T. Henkel},
  journal= {arXiv preprint arXiv:1407.5647},
  year   = {2014}
}

Comments

12 pages

R2 v1 2026-06-22T05:09:16.605Z