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Classes of abelian groups related to sequential convergence

 

作者: Dikran N. Dikranjan,  

 

期刊: Communications in Algebra  （Taylor Available online 1994）
卷期: Volume 22, issue 15  

页码: 6073-6090

 

ISSN:0092-7872

 

年代: 1994

 

DOI:10.1080/00927879408825179

 

出版商: Marcel Dekker, Inc.

 

关键词: algebraically compact group;convergence group;sequentially compact group;complete group;coarse group

 

数据来源: Taylor

 

摘要:

We study classes of abelian groups related to sequential com¬pactness and its generalizations (completeness, coarseness and sequential pre-compactness) in convergence groups. In particular, we describe the algebraic structure of the abelian groups on which every coarse convergence is complete and we prove that: i) every abelian group admits a sequentially precompact convergence; ii) every algebraically compact abelian group admits a sequen¬tially compact convergence.

 

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