The Resource Commutative Algebra: Constructive Methods : Finite Projective Modules, by Henri Lombardi, Claude Quitté, (electronic resource)

Commutative Algebra: Constructive Methods : Finite Projective Modules, by Henri Lombardi, Claude Quitté, (electronic resource)

Label
Commutative Algebra: Constructive Methods : Finite Projective Modules
Title
Commutative Algebra: Constructive Methods
Title remainder
Finite Projective Modules
Statement of responsibility
by Henri Lombardi, Claude Quitté
Creator
Contributor
Author
Author
Subject
Language
  • eng
  • eng
Summary
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 theories. Indeed, it revisits these traditional topics with a new and simplifying manner, making the subject both accessible and innovative. The algorithmic aspects of such naturally abstract topics as Galois theory, Dedekind rings, Prüfer rings, finitely generated projective modules, dimension theory of commutative rings, and others in the current treatise, are all analysed in the spirit of the great developers of constructive algebra in the nineteenth century. This updated and revised edition contains over 350 well-arranged exercises, together with their helpful hints for solution. A basic knowledge of linear algebra, group theory, elementary number theory as well as the fundamentals of ring and module theory is required. Commutative Algebra: Constructive Methods will be useful for graduate students, and also researchers, instructors, and theoretical computer scientists
Member of
http://library.link/vocab/creatorName
Lombardi, Henri
Dewey number
510
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
  • MYcGWJQqGWY
  • Xpia6BTqG4c
Language note
English
LC call number
QA251.3
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
Quitté, Claude.
Series statement
Algebra and Applications,
Series volume
20
http://library.link/vocab/subjectName
  • Algebra
  • Field theory (Physics)
  • Matrix theory
  • Algebra
  • Commutative Rings and Algebras
  • Field Theory and Polynomials
  • Linear and Multilinear Algebras, Matrix Theory
  • Symbolic and Algebraic Manipulation
Label
Commutative Algebra: Constructive Methods : Finite Projective Modules, by Henri Lombardi, Claude Quitté, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
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
Dimensions
unknown
Edition
1st ed. 2015.
Extent
1 online resource (1033 p.)
Form of item
online
Isbn
9789401799447
Media category
computer
Media type code
c
Other control number
10.1007/978-94-017-9944-7
Specific material designation
remote
System control number
  • (CKB)3710000000452278
  • (EBL)3567869
  • (SSID)ssj0001534638
  • (PQKBManifestationID)11855995
  • (PQKBTitleCode)TC0001534638
  • (PQKBWorkID)11494630
  • (PQKB)11699470
  • (DE-He213)978-94-017-9944-7
  • (MiAaPQ)EBC3567869
  • (EXLCZ)993710000000452278
Label
Commutative Algebra: Constructive Methods : Finite Projective Modules, by Henri Lombardi, Claude Quitté, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
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
Dimensions
unknown
Edition
1st ed. 2015.
Extent
1 online resource (1033 p.)
Form of item
online
Isbn
9789401799447
Media category
computer
Media type code
c
Other control number
10.1007/978-94-017-9944-7
Specific material designation
remote
System control number
  • (CKB)3710000000452278
  • (EBL)3567869
  • (SSID)ssj0001534638
  • (PQKBManifestationID)11855995
  • (PQKBTitleCode)TC0001534638
  • (PQKBWorkID)11494630
  • (PQKB)11699470
  • (DE-He213)978-94-017-9944-7
  • (MiAaPQ)EBC3567869
  • (EXLCZ)993710000000452278

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