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Enlargements, semiabundancy and unipotent monoids1

 

作者: John Fountain,   GracindaM. S. Gomes,   Victoria Gould,  

 

期刊: Communications in Algebra  （Taylor Available online 1999）
卷期: Volume 27, issue 2  

页码: 595-614

 

ISSN:0092-7872

 

年代: 1999

 

DOI:10.1080/00927879908826450

 

出版商: Gordon and Breach Science Publishers Ltd.

 

关键词: enlargement;expansion;semiabundant;unipotent

 

数据来源: Taylor

 

摘要:

The relation[Rtilde]on a monoidSprovides a natural generalisation of Green’s relationR. If every[Rtilde]-class ofScontains an idempotentSis left semiabundant; if[Rtilde]is a left congruence thenSsatisfies(CL). Regular monoids, indeed left abundant monoids, are left semiabundant and satisfy(CL). However, the class of left semiabundant monoids is much larger, as we illustrate with a number of examples.

 

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