Commutative Algebra: Constructive Methods : Finite Projective Modules - Softcover
Book 20 of 29: Algebra and Applications
Synopsis
Examples.- The basic local-global principle and systems of linear equations.- The method of undetermined coefficients.- Finitely presented modules.- Finitely generated projective modules.-Examples.- The basic local-global principle and systems of linear equations.- The method of undetermined coefficients.- Finitely presented modules.- Finitely generated projective modules, 1.- Strictly finite algebras and Galois algebras.- The dynamic method.- Flat modules.- Local rings, or just about.- Finitely generated projective modules, 2.- Distributive lattices, lattice-groups.- Prüfer and Dedekind rings.- Krull dimension.- The number of generators of a module.- The local-global principle.- Extended projective modules.- Suslin's stability theorem.- Annex.- Constructive logic.
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