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 offers with the idea of abelian or commutative teams, with targeted emphasis on effects bearing on constitution difficulties. greater than 500 workouts of various levels of hassle, with and with no tricks, are incorporated. a number of the routines light up the theorems stated within the textual content via delivering substitute advancements, proofs or counterexamples of generalizations.

Comprised of sixteen chapters, this quantity starts off with an summary of the elemental proof on crew conception reminiscent of 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 specialise in the constitution concept of the 3 major sessions of abelian teams: the first teams, the torsion-free teams, and the combined teams. functions of the speculation also are thought of, in addition to different issues comparable to homomorphism teams and endomorphism jewelry; the Schreier extension concept with a dialogue of the crowd of extensions and the constitution of the tensor product. furthermore, the e-book examines the speculation of the additive team of jewelry and the multiplicative staff of fields, besides Baer's concept of the lattice of subgroups.

This ebook is meant for younger examine staff 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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