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Projective module
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==References== * {{cite book | author1=William A. Adkins |author2=Steven H. Weintraub |title=Algebra: An Approach via Module Theory | url=https://archive.org/details/springer_10.1007-978-1-4612-0923-2 |publisher=Springer |year=1992 |isbn=978-1-4612-0923-2 |at=Sec 3.5}} * {{cite book | author= Iain T. Adamson | title=Elementary rings and modules | series=University Mathematical Texts | publisher=Oliver and Boyd | year=1972 | isbn=0-05-002192-3 }} * [[Nicolas Bourbaki]], Commutative algebra, Ch. II, §5 * {{citation|last1=Braunling|first1=Oliver |last2=Groechenig|first2=Michael|last3=Wolfson|first3=Jesse|title=Tate objects in exact categories|journal=[[Mosc. Math. J.]]|volume=16|year=2016|issue=3|mr=3510209|arxiv=1402.4969v4|doi=10.17323/1609-4514-2016-16-3-433-504|s2cid=118374422 }} * {{cite book | author=Paul M. Cohn |author-link=Paul Cohn | title=Further algebra and applications |year=2003 |publisher=Springer |isbn=1-85233-667-6}} * {{citation|last=Drinfeld|first=Vladimir |editor=Pavel Etingof |editor2=Vladimir Retakh |editor3=I. M. Singer |chapter=Infinite-dimensional vector bundles in algebraic geometry: an introduction |title=The Unity of Mathematics |pages=263–304 |publisher=Birkhäuser Boston |year=2006 |mr=2181808 |doi=10.1007/0-8176-4467-9_7 |arxiv=math/0309155v4 |isbn=978-0-8176-4076-7}} * {{citation|last=Govorov|first=V. E.|title=On flat modules (Russian)|journal=[[Siberian Math. J.]]|volume=6|year=1965|pages=300–304}} * {{cite book |first1=Michiel |last1=Hazewinkel|author-link1=Michiel Hazewinkel |first2=Nadiya|last2=Gubareni |author-link2=Nadiya Gubareni|first3=Vladimir V.|last3=Kirichenko|author-link3=Vladimir V. Kirichenko |year=2004 |title=Algebras, rings and modules |publisher=[[Springer Science]] |isbn=978-1-4020-2690-4 }} * {{citation|last=Kaplansky|first=Irving|title=Projective modules|journal=[[Ann. of Math.]] |series= 2|volume=68|issue=2|year=1958|pages=372–377|mr=0100017|doi=10.2307/1970252|jstor=1970252|hdl=10338.dmlcz/101124|hdl-access=free}} * {{cite book | last=Lang|first=Serge | author-link=Serge Lang | title=Algebra | edition=3rd | publisher=[[Addison–Wesley]] | year=1993 | isbn=0-201-55540-9 }} *{{citation|first=D.|last=Lazard |title=Autour de la platitude| journal=[[Bulletin de la Société Mathématique de France]]| year=1969| volume=97| pages=81–128| doi=10.24033/bsmf.1675| doi-access=free}} * {{cite book |first1=James |last1=Milne |year=1980 |title=Étale cohomology |publisher=Princeton Univ. Press |isbn=0-691-08238-3 |url-access=registration |url=https://archive.org/details/etalecohomology00miln }} * Donald S. Passman (2004) ''A Course in Ring Theory'', especially chapter 2 Projective modules, pp 13–22, AMS Chelsea, {{isbn|0-8218-3680-3}} . * {{citation |last1=Raynaud|first1=Michel |last2=Gruson|first2=Laurent |year=1971 |title=Critères de platitude et de projectivité. Techniques de "platification" d'un module |journal=[[Invent. Math.]] |volume=13 |pages=1–89 |mr=0308104|doi=10.1007/BF01390094|bibcode=1971InMat..13....1R|s2cid=117528099 }} * [[Paulo Ribenboim]] (1969) ''Rings and Modules'', §1.6 Projective modules, pp 19–24, [[Interscience Publishers]]. * [[Charles Weibel]], [http://www.math.rutgers.edu/~weibel/Kbook.html The K-book: An introduction to algebraic K-theory]
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