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