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