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The Resource Abelian Groups, by László Fuchs, (electronic resource)
Abelian Groups, by László Fuchs, (electronic resource)
Resource Information
The item Abelian Groups, by László Fuchs, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item Abelian Groups, by László Fuchs, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 Summary
 Written by one of the subject’s foremost experts, this book focuses on the central developments and modern methods of the advanced theory of abelian groups, while remaining accessible, as an introduction and reference, to the nonspecialist. It provides a coherent source for results scattered throughout the research literature with lots of new proofs. The presentation highlights major trends that have radically changed the modern character of the subject, in particular, the use of homological methods in the structure theory of various classes of abelian groups, and the use of advanced settheoretical methods in the study of undecidability problems. The treatment of the latter trend includes Shelah’s seminal work on the undecidability in ZFC of Whitehead’s Problem; while the treatment of the former trend includes an extensive (but nonexhaustive) study of pgroups, torsionfree groups, mixed groups, and important classes of groups arising from ring theory. To prepare the reader to tackle these topics, the book reviews the fundamentals of abelian group theory and provides some background material from category theory, set theory, topology, and homological algebra. An abundance of exercises are included to test the reader’s comprehension, and to explore noteworthy extensions and related sidelines of the main topics. A list of open problems and questions, in each chapter, invite the reader to take an active part in the subject’s further development
 Language
 eng
 Edition
 1st ed. 2015.
 Extent
 XXI, 747 p.
 Contents

 Fundamentals
 Direct Sums
 Direct Sums of Cyclic Groups
 Divisibility and Injectivity
 Purity and Basic Subgroups
 Algebraically Compact Groups
 Homomorphism Groups
 Tensor and Torsion Products
 Groups of Extensions and Cotorsion Groups
 Torsion Groups
 pGroups with Elements of Infinite Height
 Torsionfree Groups
 Torsionfree Groups of Infinite Rank
 Butler Groups
 Mixed Groups
 Endomorphism Rings
 Automorphism groups
 Groups in Rings and in Fields
 Isbn
 9783319194226
 Label
 Abelian Groups
 Title
 Abelian Groups
 Statement of responsibility
 by László Fuchs
 Subject

 Group Theory and Generalizations
 Homological algebra
 Commutative algebra
 Category theory (Mathematics)
 Commutative Rings and Algebras
 Group theory
 Electronic resources
 Category Theory, Homological Algebra
 Mathematics
 Commutative algebra
 Homological algebra
 Mathematics
 Commutative rings
 Commutative rings
 Group theory
 Category theory (Mathematics)
 Language
 eng
 Summary
 Written by one of the subject’s foremost experts, this book focuses on the central developments and modern methods of the advanced theory of abelian groups, while remaining accessible, as an introduction and reference, to the nonspecialist. It provides a coherent source for results scattered throughout the research literature with lots of new proofs. The presentation highlights major trends that have radically changed the modern character of the subject, in particular, the use of homological methods in the structure theory of various classes of abelian groups, and the use of advanced settheoretical methods in the study of undecidability problems. The treatment of the latter trend includes Shelah’s seminal work on the undecidability in ZFC of Whitehead’s Problem; while the treatment of the former trend includes an extensive (but nonexhaustive) study of pgroups, torsionfree groups, mixed groups, and important classes of groups arising from ring theory. To prepare the reader to tackle these topics, the book reviews the fundamentals of abelian group theory and provides some background material from category theory, set theory, topology, and homological algebra. An abundance of exercises are included to test the reader’s comprehension, and to explore noteworthy extensions and related sidelines of the main topics. A list of open problems and questions, in each chapter, invite the reader to take an active part in the subject’s further development
 http://library.link/vocab/creatorName
 Fuchs, László
 Image bit depth
 0
 LC call number
 QA174183
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName
 SpringerLink
 Series statement
 Springer Monographs in Mathematics,
 http://library.link/vocab/subjectName

 Mathematics
 Category theory (Mathematics)
 Homological algebra
 Commutative algebra
 Commutative rings
 Group theory
 Mathematics
 Group Theory and Generalizations
 Commutative Rings and Algebras
 Category Theory, Homological Algebra
 Label
 Abelian Groups, by László Fuchs, (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
 Fundamentals  Direct Sums  Direct Sums of Cyclic Groups  Divisibility and Injectivity  Purity and Basic Subgroups  Algebraically Compact Groups  Homomorphism Groups  Tensor and Torsion Products  Groups of Extensions and Cotorsion Groups  Torsion Groups  pGroups with Elements of Infinite Height  Torsionfree Groups  Torsionfree Groups of Infinite Rank  Butler Groups  Mixed Groups  Endomorphism Rings  Automorphism groups  Groups in Rings and in Fields
 Dimensions
 unknown
 Edition
 1st ed. 2015.
 Extent
 XXI, 747 p.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783319194226
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9783319194226
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319194226
 Label
 Abelian Groups, by László Fuchs, (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
 Fundamentals  Direct Sums  Direct Sums of Cyclic Groups  Divisibility and Injectivity  Purity and Basic Subgroups  Algebraically Compact Groups  Homomorphism Groups  Tensor and Torsion Products  Groups of Extensions and Cotorsion Groups  Torsion Groups  pGroups with Elements of Infinite Height  Torsionfree Groups  Torsionfree Groups of Infinite Rank  Butler Groups  Mixed Groups  Endomorphism Rings  Automorphism groups  Groups in Rings and in Fields
 Dimensions
 unknown
 Edition
 1st ed. 2015.
 Extent
 XXI, 747 p.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783319194226
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9783319194226
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319194226
Subject
 Category Theory, Homological Algebra
 Category theory (Mathematics)
 Category theory (Mathematics)
 Commutative Rings and Algebras
 Commutative algebra
 Commutative algebra
 Commutative rings
 Commutative rings
 Electronic resources
 Group Theory and Generalizations
 Group theory
 Group theory
 Homological algebra
 Homological algebra
 Mathematics
 Mathematics
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