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Embedding GCD Domains in Bézout Domains

 

作者: Josephine Shamash,   Stuart T. Smith,  

 

期刊: Journal of the London Mathematical Society  （WILEY Available online 2016）
卷期: Volume s2-48, issue 1  

页码: 15-30

 

ISSN:0024-6107

 

年代: 2016

 

DOI:10.1112/jlms/s2-48.1.15

 

出版商: Oxford University Press

 

数据来源: WILEY

 

摘要:

We show that an arbitrary GCD domain can be embedded in a Bézout domain without changing the set of units. This result continues to hold if we require the domains to be discretely ordered. We can thus construct Bézout domains which are models of open induction and in which the order type of the set of positive infinite primes is arbitrary of cardinality ⩽ ℵ1.

 

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