An Open Mapping Theorem for rings which have a zero sequence of units
An Open Mapping Theorem for rings which have a zero sequence of units
复制标题
具有零序列单元的环的开放映射定理
DOI：
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发表时间：
2014
期刊：
影响因子：
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通讯作者：
T. Henkel
中科院分区：
文献类型：
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作者：
T. Henkel
本文给出了环上具有由单位组成的零序列的拓扑模的一个开映射定理。作为一个应用，证明了在某些拓扑环上（如在完全noether Hausdorff - Tate环上）有限生成模上存在唯一的完全可度量拓扑。
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).