By L. Fuchs,J. P. Kahane,A. P. Robertson,S. Ulam
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.
Read Online or Download Abelian Groups (International Series in Pure and Applied Mathematics) PDF
Best algebra books
With roots within the 19th century, Lie thought has given that discovered many and sundry purposes in arithmetic and mathematical physics, to the purpose the place it really is now considered as a classical department of arithmetic in its personal correct. This graduate textual content specializes in the examine of semisimple Lie algebras, constructing the mandatory concept alongside the best way.
This e-book presents the 1st English translation of Bezout's masterpiece, the overall conception of Algebraic Equations. It follows, by way of nearly 200 years, the English translation of his recognized arithmetic textbooks. the following, Bézout provides his method of fixing structures of polynomial equations in different variables and in nice element.
This textbook on linear algebra comprises the main subject matters of the topic that almost all complex undergraduates have to research sooner than getting into graduate institution. the entire ordinary subject matters, similar to complicated vector areas, advanced internal items, the Spectral theorem for regular operators, twin areas, the minimum polynomial, the Jordan canonical shape, and the rational canonical shape, are coated, in addition to a bankruptcy on determinants on the finish of the e-book.
Desktops in Nonassociative earrings and Algebras offers details pertinent to the computational features of nonassociative earrings and algebras. This publication describes the algorithmic ways for fixing difficulties utilizing a working laptop or computer. equipped into 10 chapters, this booklet starts off with an outline of the concept that of a symmetrized strength of a gaggle illustration.
- Iterative Regularization Methods for Nonlinear Ill-Posed Problems (Radon Series on Computational and Applied Mathematics)
- Theory of Generalized Inverses Over Commutative Rings (Algebra, Logic and Applications)
- Lineare Algebra: Ein Lehrbuch über die Theorie mit Blick auf die Praxis (Springer Studium Mathematik - Bachelor) (German Edition)
- 4000 Jahre Algebra: Geschichte – Kulturen – Menschen (Vom Zählstein zum Computer) (German Edition)
- Schaum's Outline of Intermediate Algebra, Second Edition (Schaum's Outlines)
- Wiley-Schnellkurs Lineare Algebra (Wiley Schnellkurs) (German Edition)
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