Cheap PDF 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 particular emphasis on effects bearing on constitution difficulties. greater than 500 workouts of various levels of hassle, with and with out tricks, are integrated. many of the routines light up the theorems mentioned within the textual content by means of delivering substitute advancements, proofs or counterexamples of generalizations.

Comprised of sixteen chapters, this quantity starts with an summary of the elemental evidence on crew idea akin 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 easy subgroups. next chapters specialize in the constitution thought 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, in addition to different themes comparable to homomorphism teams and endomorphism jewelry; the Schreier extension thought with a dialogue of the crowd of extensions and the constitution of the tensor product. additionally, the publication examines the speculation of the additive staff of earrings and the multiplicative team of fields, besides Baer's conception of the lattice of subgroups.

This booklet 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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