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Notes on flatness and the quot functor on rings

 

作者: D. Laksov,   Y. Pittelould,   R.M. Skjelnes,  

 

期刊: Communications in Algebra  （Taylor Available online 2000）
卷期: Volume 28, issue 12  

页码: 5613-5627

 

ISSN:0092-7872

 

年代: 2000

 

DOI:10.1080/00927870008827178

 

出版商: Gordon and Breach Science Publishers Ltd.

 

数据来源: Taylor

 

摘要:

For flat modulesMover a ringAwe study the similarities between the three statements,dimk(P) (k(P)⊗AM=dfor all prime idealsPofA, the Ap-module Mpis free of rankdfor all prime idealsPofA, andMis a locally free J4-module of rank d. We have particularly emphasized the case when there is an>l-algebraB, essentially of finite type, andMis a finitely generatedB-module.

 

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