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M-Canonical ideals in integral domains

 

作者: William J. Heinzer,   James A. Huckaba,   Ira J. Papick,  

 

期刊: Communications in Algebra  （Taylor Available online 1998）
卷期: Volume 26, issue 9  

页码: 3021-3043

 

ISSN:0092-7872

 

年代: 1998

 

DOI:10.1080/00927879808826325

 

出版商: Gordon and Breach Science Publishers Ltd.

 

关键词: Divisorial Ideal;Prüfer Domain;I-local Domain;M-Canonical Ideal

 

数据来源: Taylor

 

摘要:

We prove that a Priifer domainRhas an m-canonical idealJ, that is, an idealIsuch thatJ: (I:J) =Jfor every idealJofR, if and only ifRish-local with only finitely many maximal ideals that are not finitely generated; moreover, if these conditions are satisfied, then the product of the non-finitely generated maximal ideals is an m-canonical ideal ofR

 

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