Download e-book for kindle: Abelian Groups (International Series in Pure and Applied by L. Fuchs,J. P. Kahane,A. P. Robertson,S. Ulam

By L. Fuchs,J. P. Kahane,A. P. Robertson,S. Ulam

Abelian teams bargains with the speculation of abelian or commutative teams, with certain emphasis on effects referring to constitution difficulties. greater than 500 routines of various levels of hassle, with and with out tricks, are incorporated. the various routines remove darkness from the theorems pointed out within the textual content by way of delivering replacement advancements, proofs or counterexamples of generalizations.

Comprised of sixteen chapters, this quantity starts with an summary of the fundamental proof on workforce concept similar to issue staff 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 simple subgroups. next chapters concentrate on the constitution thought of the 3 major sessions of abelian teams: the first teams, the torsion-free teams, and the combined teams. purposes of the speculation also are thought of, besides different issues comparable to homomorphism teams and endomorphism earrings; the Schreier extension idea with a dialogue of the gang of extensions and the constitution of the tensor product. additionally, the publication examines the speculation of the additive workforce of jewelry and the multiplicative staff of fields, besides Baer's idea of the lattice of subgroups.

This publication is meant for younger learn employees and scholars who intend to familiarize themselves with abelian groups.

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Abelian Groups (International Series in Pure and Applied Mathematics) by L. Fuchs,J. P. Kahane,A. P. Robertson,S. Ulam

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