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.

Show description

Read or Download Abelian Groups (International Series in Pure and Applied Mathematics) PDF

Similar algebra books

The Equations : Icons of knowledge by Sander Bais PDF

For millions of years mankind has attempted to appreciate nature. Exploring the realm on all scales with tools of ever extra ingenuity, now we have been capable of resolve a few of the nice mysteries that encompass us. whereas gathering an overpowering multitude of observational evidence, we came across primary legislation that govern the constitution and evolution of actual fact.

Prealgebra & Introductory Algebra, First edition by Molly O'Neill,Julie Miller,Nancy Hyde PDF

Recuperate effects with prime quality electronic content material and a straightforward to take advantage of platform! NEW! For the 1st time, the Miller/O'Neill/Hyde writer workforce now bargains a mixed Prealgebra and Introductory Algebra textual content for these looking to mix these issues into one quantity! moreover, this article has aligned with a brand new on-line homework platform - attach Math Hosted by way of ALEKS Corp.

Get Diskrete Mathematik (German Edition) PDF

Diskrete Mathematik zählt zu den Grundlagen der Informatik. Prof. Walter Hower, der mit dem Lehrpreis des Landes Baden-Württemberg ausgezeichnet wurde, führt leichtfüßig in dieses Teilgebiet der Mathematik ein und ermöglicht es Studierenden, die Grundlagen schnell zu verinnerlichen und den Praxistransfer zu bewerkstelligen.

Download PDF by J. Strother Moore: Introduction to Abstract Algebra

Advent to summary Algebra offers perception into the tools of summary algebra. This booklet presents info pertinent to the basic suggestions of summary algebra. equipped into 5 chapters, this e-book starts with an outline of the research of traditional numbers which are used traditionally for the aim of counting the items in several assemblages.

Extra resources for Abelian Groups (International Series in Pure and Applied Mathematics)

Sample text

Download PDF sample

Abelian Groups (International Series in Pure and Applied Mathematics) by L. Fuchs,J. P. Kahane,A. P. Robertson,S. Ulam


by Mark
4.1

Rated 4.82 of 5 – based on 18 votes