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

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

Abelian teams bargains with the speculation of abelian or commutative teams, with detailed emphasis on effects bearing on constitution difficulties. greater than 500 workouts of various levels of hassle, with and with out tricks, are incorporated. a few of the routines light up 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 off with an outline of the fundamental evidence on crew concept reminiscent of 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 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 themes equivalent to homomorphism teams and endomorphism jewelry; the Schreier extension thought with a dialogue of the gang of extensions and the constitution of the tensor product. furthermore, the ebook examines the speculation of the additive team of jewelry and the multiplicative crew of fields, besides Baer's thought 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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Abelian Groups (International Series in Pure and Applied Mathematics) by L. Fuchs,J. P. Kahane,A. P. Robertson,S. Ulam

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