By L. Fuchs,J. P. Kahane,A. P. Robertson,S. Ulam
Comprised of sixteen chapters, this quantity starts off with an outline of the fundamental evidence on crew concept reminiscent of issue crew 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 thought of the 3 major sessions of abelian teams: the first teams, the torsion-free teams, and the combined teams. purposes of the speculation also are thought of, besides different themes equivalent to homomorphism teams and endomorphism jewelry; the Schreier extension thought with a dialogue of the gang of extensions and the constitution of the tensor product. furthermore, the ebook examines the speculation of the additive team of jewelry and the multiplicative crew of fields, besides Baer's thought of the lattice of subgroups.
This ebook is meant for younger study staff and scholars who intend to familiarize themselves with abelian groups.
Read or Download Abelian Groups (International Series in Pure and Applied Mathematics) PDF
Similar algebra books
Homological algebra has came across lots of functions in lots of fields starting from finite and limitless team idea to illustration thought, quantity idea, algebraic topology and sheaf concept. within the new version of this large creation to the sphere, the authors deal with a couple of pick out issues and describe their purposes, illustrating the variety and intensity in their advancements.
Dieses Buch soll Ihnen als Mathematik-Erstsemester den Einstieg und Umstieg von der Schulmathematik in die Hochschulmathematik erleichtern und Ihnen somit helfen, viele der üblichen Erstsemester-Fehler zu vermeiden. Das Buch ist anders als alle anderen, denn es wurde von Studenten geschrieben, die Erfahrung als train, Übungsleiter und Korrektoren haben.
University Algebra, moment variation is a entire presentation of the elemental suggestions and strategies of algebra. The publication comprises a few advancements from the former variation to supply a greater studying event. It presents enough fabrics to be used within the learn of faculty algebra. It comprises chapters which are dedicated to a number of mathematical options, resembling the genuine quantity process, the idea of polynomial equations, exponential and logarithmic services, and the geometric definition of every conic part.
During the chapters during this quantity we know about the study foci and/ or questions that those lecture room lecturers have an interest in reading, the math content material in which they engaged their scholars in those explorations, the information resources they used to make feel in their concentration and questions, and their roles within the study.
Additional info 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