Abelian Groups (häftad)
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Format
Inbunden (Hardback)
Språk
Engelska
Serie
Springer Monographs in Mathematics
Antal sidor
747
Utgivningsdatum
2015-12-18
Upplaga
15001
Förlag
Springer International Publishing AG
Dimensioner
234 x 156 x 41 mm
Vikt
1248 g
ISBN
9783319194219

Abelian Groups

av László Fuchs
Inbunden,  Engelska, 2015-12-18
1773

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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 non-specialist. 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 set-theoretical methods in the study of un decidability problems. The treatment of the latter trend includes Shelah's seminal work on the un decidability in ZFC of Whitehead's Problem; while the treatment of the former trend includes an extensive (but non-exhaustive) study of p-groups, torsion-free 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.
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  • Groups, Modules, and Model Theory - Surveys and Recent Developments

    Groups, Modules, and Model Theory - Surveys and Recent Developments

    Manfred Droste, László Fuchs, Brendan Goldsmith, Lutz Strüngmann, LászlóGoldsmith Fuchs Brendan

    This volume focuses on group theory and model theory with a particular emphasis on the interplay of the two areas. The survey papers provide an overview of the developments across group, module, and model theory while the research papers present t...

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Övrig information

László Fuchs is the Evelyn and John G. Phillips Distinguished Professor Emeritus in Mathematics at Tulane University. He was awarded the Kossuth Prize in 1953 and is a foreign member of the Hungarian Academy of Sciences.

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