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Hidden constructions in abstract algebra (6): The theorem of Maroscia and Brewer & Costa |
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| Authors: | Henri Lombardi,Claude Quitté |
| Affiliation: | a Equipe de Mathématiques, UMR CNRS 6623, UFR des Sciences et Techniques, Université de Franche-Comté, 25030 BESANCON Cedex, France b Laboratoire de Mathématiques, SP2MI, Boulevard 3, Teleport 2, BP 179, 86960 FUTUROSCOPE Cedex, France c Département de Mathématiques, Faculté des Sciences de Sfax, 3018 Sfax, Tunisia |
| 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  , where  is a Prüfer domain with Krull dimension ≤1, are extended from  . |
| Keywords: | 13C10 19A13 14Q20 03F65 |
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