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Completions of commutative topological rings

 

作者: Willy Brandal,  

 

期刊: Communications in Algebra  （Taylor Available online 1992）
卷期: Volume 20, issue 11  

页码: 3381-3391

 

ISSN:0092-7872

 

年代: 1992

 

DOI:10.1080/00927879208824521

 

出版商: Marcel Dekker, Inc.

 

数据来源: Taylor

 

摘要:

Let R be a commutative ring andfa filter of ideals of R. We characterizewhen the Hausdorff completion of R with theftopology is a product of local Hausdorff completions. This generalizes a theorem of E. Matlis dealing with the completions of an integral domain relative to the topology of the classical torsion theory.

 

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