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

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By L. Fuchs,J. P. Kahane,A. P. Robertson,S. Ulam

Abelian teams offers with the speculation of abelian or commutative teams, with designated emphasis on effects bearing on constitution difficulties. greater than 500 workouts of various levels of trouble, with and with out tricks, are incorporated. a number of the workouts remove darkness from the theorems pointed out 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 elemental evidence on workforce idea comparable 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 uncomplicated subgroups. next chapters concentrate on the constitution thought 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, 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. moreover, the e-book examines the idea of the additive workforce of earrings and the multiplicative staff of fields, in addition to Baer's concept of the lattice of subgroups.

This publication is meant for younger learn employees 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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