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Direct topologies from discrete rings. II

 

作者: Niel Shell,  

 

期刊: Communications in Algebra  （Taylor Available online 1999）
卷期: Volume 27, issue 1  

页码: 189-218

 

ISSN:0092-7872

 

年代: 1999

 

DOI:10.1080/00927879908826428

 

出版商: Gordon and Breach Science Publishers Ltd.

 

关键词: canonical representation;condensation direct system;direct topology;discrete ring;eventually canonical representation;weak degree

 

数据来源: Taylor

 

摘要:

We prove that an integral domain with a direct topology is is algebraically closed in its completion and that a direct topology on a field can be extended to a direct topology on a simple algebraic extension. We give a canonical description of the inverse of an element in the completion of a ring with a direct topology. We consider a ring topology constructed by Marcos in terms of direct topologies and give generalizations of two constructions of Mutylin.

 

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