Module theory: an approach to linear algebra by T. S. Blyth

Module theory: an approach to linear algebra



Download Module theory: an approach to linear algebra




Module theory: an approach to linear algebra T. S. Blyth
Language: English
Page: 410
Format: pdf
ISBN: 0198533896, 9780198533894
Publisher: Oxford University Press, USA

This textbook provides a self-contained course on the basic properties of modules and their importance in the theory of linear algebra. The first 11 chapters introduce the central results and applications of the theory of modules. Subsequent chapters deal with advanced linear algebra, including multilinear and tensor algebra, and explore such topics as 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. Suitable for undergraduate courses, the text now includes a proof of the celebrated Wedderburn-Artin theorem which determines the structure of simple Artinian rings.

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