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

ISBN-10: 1483233332

ISBN-13: 9781483233338

ISBN-10: 3319194216

ISBN-13: 9783319194219

Abelian teams offers with the speculation of abelian or commutative teams, with distinctive emphasis on effects touching on constitution difficulties. greater than 500 routines of various levels of hassle, with and with out tricks, are incorporated. many of the workouts remove darkness from the theorems pointed out within the textual content by way of supplying substitute advancements, proofs or counterexamples of generalizations.

Comprised of sixteen chapters, this quantity starts with an summary of the fundamental evidence on team conception akin to 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 idea 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, besides different subject matters resembling homomorphism teams and endomorphism jewelry; the Schreier extension conception with a dialogue of the gang of extensions and the constitution of the tensor product. furthermore, the ebook examines the idea of the additive workforce of earrings and the multiplicative team of fields, in addition to Baer's concept of the lattice of subgroups.

This e-book 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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