Abelian Groups (International Series in Pure and Applied - download pdf or read online

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 relating constitution difficulties. greater than 500 workouts of various levels of hassle, with and with out tricks, are incorporated. a number of the workouts light up the theorems mentioned within the textual content via supplying substitute advancements, proofs or counterexamples of generalizations.

Comprised of sixteen chapters, this quantity starts with an summary of the fundamental proof on team conception corresponding 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 concentrate on the constitution concept of the 3 major sessions of abelian teams: the first teams, the torsion-free teams, and the combined teams. purposes of the idea also are thought of, in addition to different subject matters comparable to homomorphism teams and endomorphism earrings; the Schreier extension thought with a dialogue of the crowd of extensions and the constitution of the tensor product. additionally, the e-book examines the speculation of the additive workforce of earrings and the multiplicative workforce of fields, in addition to Baer's concept 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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