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Derived Category Methods in Commutative Algebra by Lars Winther Christensen, Hans-Bjørn Foxby, Henrik Holm

• Derived Category Methods in Commutative Algebra
• Lars Winther Christensen, Hans-Bjørn Foxby, Henrik Holm
• Page: 1119
• Format: pdf, ePub, mobi, fb2
• ISBN: 9783031774522
• Publisher: Springer Nature Switzerland

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notes on derived categories and derived functors 2. C. Weibel, An Introduction to Homological Algebra, Cambridge Studies in Advanced. Mathematics 38 (1994), has a useful chapter at the end on  Derived Categories in Commutative Algebra Note. Our first theorem is an application of the second one: Corso, Huneke, Katz, Vasconcelos: I is pd-test. Homological Algebra - academic year 2018/19 homotopy & homology · chain complexes & chain homotopy · projective & injective resolutions · derived functors · Tor & Ext · sheaf cohomology · homotopy/derived  References - Derived Categories Gelfand, S. I. and Manin, Y. I., Methods of Homological Algebra, Springer, 2002. , The derived category of sheaves of commutative DG rings, lecture  Derived Category Methods in Commutative Algebra II “Derived category methods have proved to be very successful in ring theory, in particular in commutative algebra. Evidence is provided by [1, 8  Slides and Lecture Notes of Keri Sather-Wagstaff Commutative Algebra and Its Interactions with Algebraic Geometry, Dalhousie University, Oct 2014; Derived category techniques in commutative algebra. AMS  Henrik Holm's homepage - Publications L. W. Christensen, H.-B. Foxby and H. Holm, Derived Category Methods in Commutative Algebra,. Springer Monogr. Math. Derived Category Methods in Commutative Algebra - Lars Derived category methods entered commutative algebra in the latter half of the 1960s, providing, among other things, a framework for a clear formulation of  Methods of Homological Algebra - Sergei I. Gelfand, Yuri I. This modern approach to homological algebra, by two leading writers in the field, is based on the systematic use of the language and ideas of derived 

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