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Quillen–Suslin theorem
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==References== *{{Citation | last = Serre | first = Jean-Pierre | authorlink = Jean-Pierre Serre |date=March 1955 | title = Faisceaux algébriques cohérents | journal = [[Annals of Mathematics]] |series = Second Series | volume = 61 | pages = 197–278 | doi = 10.2307/1969915 | jstor = 1969915 | issue = 2 | mr = 0068874 }} *{{Citation | last = Serre | first = Jean-Pierre | authorlink = Jean-Pierre Serre | year = 1958 | chapter = Modules projectifs et espaces fibrés à fibre vectorielle | title = Séminaire P. Dubreil, M.-L. Dubreil-Jacotin et C. Pisot, 1957/58, Fasc. 2, Exposé 23 | language = French | mr = 0177011 }} *{{Citation | last = Quillen | first = Daniel | authorlink = Daniel Quillen | year = 1976 | title = Projective modules over polynomial rings | journal = [[Inventiones Mathematicae]] | volume = 36 | pages = 167–171 | doi = 10.1007/BF01390008 | mr = 0427303 | issue = 1 | bibcode = 1976InMat..36..167Q }} *{{Citation | last = Suslin | first = Andrei A. | authorlink = Andrei Suslin | year = 1976 | script-title=ru:Проективные модули над кольцами многочленов свободны | trans-title = Projective modules over polynomial rings are free | language = Russian | journal = [[Doklady Akademii Nauk SSSR]] | volume = 229 | pages = 1063–1066 | issue = 5 | mr = 0469905 | postscript = . }} Translated in {{Citation | year = 1976 | title = Projective modules over polynomial rings are free | journal = [[Soviet Mathematics]] | volume = 17 | pages = 1160–1164 | issue = 4 | postscript = . }} *{{Lang Algebra}} An account of this topic is provided by: *{{Citation | last = Lam | first = Tsit Yuen |authorlink = Tsit Yuen Lam | year = 2006 | title = Serre's problem on projective modules | publisher = [[Springer Science+Business Media]] | location = Berlin; New York | pages = 300pp | series = Springer Monographs in Mathematics | isbn = 978-3-540-23317-6 | mr = 2235330 }} {{DEFAULTSORT:Quillen-Suslin theorem}} [[Category:Commutative algebra]] [[Category:Theorems in abstract algebra]]
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