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Varieties minimal over representable varieties of lattice-ordered groups

 

作者: Michael R. Darnel,  

 

期刊: Communications in Algebra  （Taylor Available online 1993）
卷期: Volume 21, issue 8  

页码: 2637-2665

 

ISSN:0092-7872

 

年代: 1993

 

DOI:10.1080/00927879308824698

 

出版商: Gordon and Breach Science Publishers Ltd.

 

关键词: 06F15

 

数据来源: Taylor

 

摘要:

Weinberg showed that the variety of abelian lattice-ordered groups is the minimal nontrivial variety in the lattice of varieties of lattice-ordered groups. Scrimger showed that the abelian variety of lattice-ordered groups has countably infinitely many nonrepresentable covering varieties, and it is now known that his varieties are the only nonrepresentable covers of the abelian variety.

 

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