Synopsis
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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Module Theory: An Approach to Linear Algebra
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Oxford University Press, 1990
ISBN 10: 0198533896
ISBN 13: 9780198533894
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Module Theory: An Approach to Linear Algebra
Published by
Oxford University Press, 1990
ISBN 10: 0198533896
ISBN 13: 9780198533894
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