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Hidden constructions in abstract algebra (6): The theorem of Maroscia and Brewer & Costa

Authors :
Ihsen Yengui
Claude Quitté
Henri Lombardi
Source :
Journal of Pure and Applied Algebra. (7):1575-1582
Publisher :
Published by Elsevier B.V.

Abstract

We give a constructive deciphering for a generalization of the Quillen–Suslin theorem due to Maroscia and Brewer & Costa stating that finitely generated projective modules over R[X1,…,Xn], where R is a Prüfer domain with Krull dimension ≤1, are extended from R.

Details

Language :
English
ISSN :
00224049
Issue :
7
Database :
OpenAIRE
Journal :
Journal of Pure and Applied Algebra
Accession number :
edsair.doi.dedup.....ce3221bd103a0c335cc9e1f6d4d8b89c
Full Text :
https://doi.org/10.1016/j.jpaa.2007.10.009