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.

Show description

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

Similar algebra books

Download PDF by Phoebus J. Dhrymes: Mathematics for Econometrics

This e-book goals to fill the gaps within the usual student's mathematical education to the level suitable for the research of econometrics. quite often, proofs are supplied and there's a verbal dialogue of definite mathematical results.

Download e-book for iPad: Mathematik für Ingenieure: Eine anschauliche Einführung für by Thomas Rießinger

Im Erzählstil und mit vielen Beispielen beleuchtet der Autor nicht nur die Höhere Mathematik, sondern stellt den mathematischen Lernstoff auch in Bezug zu den Anwendungen dar. Dabei verzichtet er auf abstrakte Höhen und trifft eine prüfungsgerechte Stoffauswahl. 141 Übungsaufgaben mit Lösungen unterstützen Leser beim Einüben des Stoffs.

Dieter Happel's Triangulated Categories in the Representation of Finite PDF

This publication is an advent to using triangulated different types within the learn of representations of finite-dimensional algebras. in recent times illustration concept has been a space of excessive learn and the writer indicates that derived different types of finite-dimensional algebras are a useful gizmo in learning tilting procedures.

Paul R. Halmos's Finite-Dimensional Vector Spaces: Second Edition (Dover PDF

A good instance of an excellent mathematician's mind and mathematical variety, this vintage on linear algebra is generally pointed out within the literature. The remedy is a perfect complement to many conventional linear algebra texts and is out there to undergraduates with a few history in algebra. "This is a vintage yet nonetheless necessary advent to fashionable linear algebra.

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

Example 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 Donald
4.3

Rated 4.80 of 5 – based on 27 votes