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)
Resource Information
The item Commutative Algebra: Constructive Methods : Finite Projective Modules, by Henri Lombardi, Claude Quitté, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.This item is available to borrow from 1 library branch.
Resource Information
The item Commutative Algebra: Constructive Methods : Finite Projective Modules, by Henri Lombardi, Claude Quitté, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.
This item is available to borrow from 1 library branch.
 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 wellarranged 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
 Language
 eng
 Extent
 XLIX, 996 p. 80 illus.
 Contents

 Examples
 The basic localglobal principle and systems of linear equations
 The method of undetermined coefficients
 Finitely presented modules
 Finitely generated projective modules.Examples
 The basic localglobal 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, latticegroups
 Prüfer and Dedekind rings
 Krull dimension
 The number of generators of a module
 The localglobal principle
 Extended projective modules
 Suslin's stability theorem
 Annex
 Constructive logic
 Isbn
 9789401799447
 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
 Language
 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 wellarranged 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
 http://library.link/vocab/creatorName
 Lombardi, Henri
 Image bit depth
 0
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName

 Quitté, Claude.
 SpringerLink (Online service)
 Series statement
 Algebra and Applications,
 Series volume
 20
 http://library.link/vocab/subjectName

 Mathematics
 Computer science
 Commutative algebra
 Commutative rings
 Algebra
 Field theory (Physics)
 Matrix theory
 Label
 Commutative Algebra: Constructive Methods : Finite Projective Modules, by Henri Lombardi, Claude Quitté, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier.
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent.
 Contents
 Examples  The basic localglobal principle and systems of linear equations  The method of undetermined coefficients  Finitely presented modules  Finitely generated projective modules.Examples  The basic localglobal 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, latticegroups  Prüfer and Dedekind rings  Krull dimension  The number of generators of a module  The localglobal principle  Extended projective modules  Suslin's stability theorem  Annex  Constructive logic
 Control code
 9789401799447
 Dimensions
 unknown
 Extent
 XLIX, 996 p. 80 illus.
 File format
 multiple file formats
 Form of item
 electronic
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 Isbn
 9789401799447
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia.
 Media type code
 c
 Other control number
 10.1007/9789401799447
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)1086537019
 Label
 Commutative Algebra: Constructive Methods : Finite Projective Modules, by Henri Lombardi, Claude Quitté, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier.
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent.
 Contents
 Examples  The basic localglobal principle and systems of linear equations  The method of undetermined coefficients  Finitely presented modules  Finitely generated projective modules.Examples  The basic localglobal 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, latticegroups  Prüfer and Dedekind rings  Krull dimension  The number of generators of a module  The localglobal principle  Extended projective modules  Suslin's stability theorem  Annex  Constructive logic
 Control code
 9789401799447
 Dimensions
 unknown
 Extent
 XLIX, 996 p. 80 illus.
 File format
 multiple file formats
 Form of item
 electronic
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 Isbn
 9789401799447
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia.
 Media type code
 c
 Other control number
 10.1007/9789401799447
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)1086537019
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.eui.eu/portal/CommutativeAlgebraConstructiveMethods/9mmmMiz7ZTw/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.eui.eu/portal/CommutativeAlgebraConstructiveMethods/9mmmMiz7ZTw/">Commutative Algebra: Constructive Methods : Finite Projective Modules, by Henri Lombardi, Claude Quitté, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.eui.eu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.eui.eu/">European University Institute</a></span></span></span></span></div>