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Title:
Commutative Algebra: Constructive Methods Finite Projective Modules / by Henri Lombardi, Claude Quitté.
Algebra and Applications,
Algebra and Applications,
Main Entry:
Lombardi, Henri. author.
Quitté, Claude. author.
SpringerLink (Online service)
Publisher:
Springer Netherlands : Imprint: Springer,
Publication Date:
2015.
Publication Place:
Dordrecht :
ISBN:
9789401799447
Subject:
Mathematics.
Computer science -- Mathematics.
Commutative algebra.
Commutative rings.
Algebra.
Field theory (Physics).
Matrix theory.
Mathematics.
Commutative Rings and Algebras.
Field Theory and Polynomials.
Linear and Multilinear Algebras, Matrix Theory.
Symbolic and Algebraic Manipulation.
Series:
Algebra and Applications, 20
Algebra and Applications, 20
Contents:
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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Printed edition: 9789401799430
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