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

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

Abelian teams bargains with the idea of abelian or commutative teams, with targeted emphasis on effects relating constitution difficulties. greater than 500 routines of various levels of trouble, with and with no tricks, are integrated. the various workouts remove darkness from the theorems stated within the textual content via delivering replacement advancements, proofs or counterexamples of generalizations.

Comprised of sixteen chapters, this quantity starts with an outline of the elemental proof on team conception akin to issue crew 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 specialize in the constitution idea of the 3 major sessions of abelian teams: the first teams, the torsion-free teams, and the combined teams. functions of the idea also are thought of, besides different subject matters reminiscent of homomorphism teams and endomorphism earrings; the Schreier extension concept with a dialogue of the gang of extensions and the constitution of the tensor product. additionally, the ebook examines the idea of the additive crew of earrings and the multiplicative workforce of fields, in addition to Baer's idea of the lattice of subgroups.

This booklet is meant for younger examine 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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