L. Fuchs,J. P. Kahane,A. P. Robertson,S. Ulam's 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 bargains with the speculation of abelian or commutative teams, with distinct emphasis on effects referring to constitution difficulties. greater than 500 routines of various levels of hassle, with and with no tricks, are integrated. a few of the workouts light up the theorems brought up 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 elemental proof on staff idea similar to issue workforce 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 concept of the 3 major periods 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 issues reminiscent of homomorphism teams and endomorphism jewelry; the Schreier extension concept with a dialogue of the gang of extensions and the constitution of the tensor product. moreover, the e-book examines the speculation of the additive team of earrings and the multiplicative workforce of fields, besides Baer's concept of the lattice of subgroups.

This ebook 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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