Commutative Algebra: Constructive Methods Finite Projective Modules /

• Κύριοι συγγραφείς: Lombardi, Henri (Συγγραφέας), Quitté, Claude (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Dordrecht : Springer Netherlands : Imprint: Springer, 2015.
• Σειρά: Algebra and Applications, 20
• Θέματα: Mathematics.; Computer science > Mathematics.; Commutative algebra.; Commutative rings.; Algebra.; Field theory (Physics).; Matrix theory.; Commutative Rings and Algebras.; Field Theory and Polynomials.; Linear and Multilinear Algebras, Matrix Theory.; Symbolic and Algebraic Manipulation.

Translated from the popular French edition, this book offers a detailed introduction to various basic concepts, methods, principles, and results of commutative algebra. It takes a constructive viewpoint in commutative algebra and studies algorithmic approaches alongside several abstract classical th...

Πίνακας περιεχομένων:

• 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.