Module Theory: Approach to Linear Algebra - Hardcover

Blyth, T. S.

Hardcover

ISBN 10: 0198531621 ISBN 13: 9780198531623

Publisher: Oxford University Press, 1977

Synopsis

The aim of this textbook is to develop the basic properties of modules and to show their importance in the theory of linear algebra. It is intended to provide a self-contained course as well as to indicate how the theory may be developed in a number of more advanced directions. Throughout, numerous exercises will enable readers to consolidate their understanding. Prerequisites are few, being only a familiarity with the basic notions of rings, fields, and groups. The first eleven chapters provide a carefully graded introduction to the central results and applications of the theory of modules. Subsequent chapters deal with advanced linear algebra (including multilinear and tensor algebra) and tackle more advanced topics. These include the exterior product approach to the determinants of matrices, a module-theoretic approach to the structure of finitely generated Abelian groups, canonical forms, and normal transformations. This edition has been revised to accommodate many suggestions to ensure its suitability for undergraduate courses. One advanced topic now covered is a proof of the celebrated Wedderburn-Artin theorem which determines the structure of simple Artinian rings.

Edition details

• Publisher: Oxford University Press
• Publication date: 1977
• Language: English
• ISBN 10: 0198531621
• ISBN 13: 9780198531623
• Binding: Hardcover
• Number of pages: 418