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Köp båda 2 för 1960 krThis 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...
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.