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Almost maximal prüfer domains

 

作者: Bruce Olberding,  

 

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

页码: 4433-4458

 

ISSN:0092-7872

 

年代: 1999

 

DOI:10.1080/00927879908826707

 

出版商: Gordon and Breach Science Publishers Ltd.

 

关键词: Prüfer domain;almost maximal ring;injective module;Primary: 13F05;Primary: 13C11;Secondary: 18G05;Secondary: 16D50

 

数据来源: Taylor

 

摘要:

A well-known theorem of Brandal states that ifRis an almost maximal Prüifer domain with quotient fieldQ, then every homomorphic image ofQis injective. The converse of Brandal's theorem is established, and it is shown in addition that a Prüfer domain is almost maximal if and only if each prime ideal has injective dimension one. Applications involving reflexive domains are considered.

 

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