Commutative Algebra: Constructive Methods Finite Projective Modules /

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...

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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Lombardi, Henri (Author), Quitté, Claude (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Dordrecht : Springer Netherlands : Imprint: Springer, 2015.
Edition:1st ed. 2015.
Series:Algebra and Applications, 20
Subjects:
Commutative algebra.
Commutative rings.
Algebraic fields.
Polynomials.
Algebras, Linear.
Computer science-Mathematics.
Commutative Rings and Algebras.
Field Theory and Polynomials.
Linear Algebra.
Symbolic and Algebraic Manipulation.
Online Access:Texto Completo
Table of 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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