Abelian Groups (2015) (hardcover)
 
作者: Laszlo Fuchs 
書城編號: 987399


售價: $1800.00

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出版社: Springer
出版日期: 2015/12/18
重量: 1.25 kg
ISBN: 9783319194219
 
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商品簡介


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.

Laszlo Fuchs 作者作品表

eBook: Abelian Groups (DRM PDF)

eBook: Abelian Groups (DRM EPUB)

Abelian Groups (2015) (hardcover)

eBook: Abelian Groups (DRM PDF)

eBook: Partially Ordered Algebraic Systems (DRM EPUB)

eBook: Abelian Group Theory (DRM PDF)

eBook: Abelian Groups and Noncommutative Rings: A Collection of Papers in Memory of Robert B. Warfield, Jr. (DRM PDF)

eBook: Infinite Abelian Groups (DRM PDF)

eBook: Modules over Non-Noetherian Domains (DRM PDF)

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