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Get Abelian Groups (International Series in Pure and Applied PDF

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

ISBN-10: 1483233332

ISBN-13: 9781483233338

ISBN-10: 3319194216

ISBN-13: 9783319194219

Abelian teams offers with the speculation of abelian or commutative teams, with unique 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 workouts light up the theorems brought up within the textual content through delivering substitute advancements, proofs or counterexamples of generalizations.

Comprised of sixteen chapters, this quantity starts with an summary of the elemental proof on team conception resembling issue team 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 uncomplicated subgroups. next chapters concentrate on 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 speculation also are thought of, besides different issues corresponding 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 ebook examines the idea of the additive workforce of earrings and the multiplicative team of fields, in addition to Baer's idea of the lattice of subgroups.

This e-book is meant for younger learn 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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