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Compatible orders on the bicyclic semigroup

 

作者: Donald.B McAlister,  

 

期刊: Communications in Algebra  （Taylor Available online 1999）
卷期: Volume 27, issue 9  

页码: 4179-4208

 

ISSN:0092-7872

 

年代: 1999

 

DOI:10.1080/00927879908826690

 

出版商: Gordon and Breach Science Publishers Ltd.

 

数据来源: Taylor

 

摘要:

In this paper we determine those compatible partial orders on the bicyclic semigroupBwhich turn it into a semilatticed semigroup. We shall see that there are exactly four distinct compatible total orderings onB. These are the only compatible orderings which turnBinto a lattice ordered semigroup.

 

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