Fler böcker inom

Matematikens grunder

Format: Inbunden (Hardback)
Språk: Engelska
Antal sidor: 747
Utgivningsdatum: 2015-12-18
Upplaga: 1st ed. 2015
Förlag: Springer International Publishing AG
Illustratör/Fotograf: Bibliographie
Illustrationer: XXI, 747 p.
Dimensioner: 234 x 156 x 41 mm
Vikt
Antal komponenter: 1
Komponenter: 1 Hardback
ISBN: 9783319194219

Abelian Groups

Name: Abelian Groups
Price: 1921.00 SEK
Availability: InStock
Author: Lszl Fuchs
ISBN: 9783319194219

av Lszl Fuchs

Inbunden, Engelska, 2015-12-18

1921

Köp

Spara som favorit

Skickas från oss inom 10-15 vardagar.
Fri frakt över 249 kr för privatkunder i Sverige.

Finns även som

Häftad

Skickas inom 7-10 vardagar

1677

Visa alla 1 format & utgåvor

Written by one of the subjects 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 Shelahs seminal work on the un decidability in ZFC of Whiteheads 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 readers 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 subjects further development.

Visa hela texten

Passar bra ihop

De som köpt den här boken har ofta också köpt Nexus av Yuval Noah Harari (häftad).

Köp båda 2 för 2160 kr

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

Manfred Droste, Lszl Fuchs, Brendan Goldsmith, Lutz Strngmann

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...

1141

Köp

Skickas inom vardagar.

This is an amazing, fairly comprehensive account of the present state of the theory of abelian groups. I deem Abelian groups a must have for any algebraist, especially those working with rings and modules. (Manfred Dugas, Mathematical Reviews, December, 2016)

Lszl 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.

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.- p-Groups with Elements of Infinite Height.- Torsion-free Groups.- Torsion-free Groups of Infinite Rank.- Butler Groups.- Mixed Groups.- Endomorphism Rings.- Automorphism groups.- Groups in Rings and in Fields.