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Finite partition lattices and butler groups

 

作者: Clorinda De Vivo,   Claudia Metelli,  

 

期刊: Communications in Algebra  （Taylor Available online 1999）
卷期: Volume 27, issue 4  

页码: 1571-1590

 

ISSN:0092-7872

 

年代: 1999

 

DOI:10.1080/00927879908826514

 

出版商: Gordon and Breach Science Publishers Ltd.

 

关键词: Butler Groups;B(1)-Groups;Partition Lattices;Distributive Lattices;20K;06B;06D;06F

 

数据来源: Taylor

 

摘要:

We investigate a special relation between finite partition lattices and distributive lattices. This will allow us to explore the close relationship between a class of torsionfree Abelian groups (the subclass of the class of Butler groups consisting ofB(1)- groups) and a category of order-preserving morphisms mapping partition lattices into distributive lattices.

 

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