By L. Fuchs,J. P. Kahane,A. P. Robertson,S. Ulam
Comprised of sixteen chapters, this quantity starts with an summary of the elemental evidence on staff conception reminiscent of issue workforce or homomorphism. The dialogue then turns to direct sums of cyclic teams, divisible teams, and direct summands and natural subgroups, in addition to Kulikov's easy subgroups. next chapters specialize in the constitution concept of the 3 major periods of abelian teams: the first teams, the torsion-free teams, and the combined teams. functions of the idea also are thought of, besides different themes comparable to homomorphism teams and endomorphism earrings; the Schreier extension idea with a dialogue of the crowd of extensions and the constitution of the tensor product. additionally, the ebook examines the idea of the additive staff of jewelry and the multiplicative team of fields, besides Baer's idea of the lattice of subgroups.
This ebook is meant for younger study staff and scholars who intend to familiarize themselves with abelian groups.
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