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Rings, modules and linear algebra : a further course in algebra describing the structure of Abelian groups and canonical forms of matrices through the study of rings and modules

Author: Brian Hartley; T O Hawkes
Publisher: London : Chapman & Hall, 1970.
Series: Chapman and Hall mathematics series.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

An account of how a certain fundamental algebraic concept can be introduced, developed, and applied to solve some concrete algebraic problems.

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Genre/Form: Einführung
Document Type: Book
All Authors / Contributors: Brian Hartley; T O Hawkes
ISBN: 0412098105 9780412098109
OCLC Number: 423193021
Description: xi, 210 p. : illus. ; 22 cm.
Contents: Part I: rings and modules; rings - definitions and examples; subrings, homomorphisms and ideals; construction of new rings; factorization in integral domains; modules; some special classes of modules. Part II: direct decomposition of a finitely-generated module over a principal ideal domain; submodules of free modules; decomposition theorems; decomposition theorems - a matrix-free approach. Part III: applications to groups and matrices; finitely-generated abelian groups; linear transformations, matrices and canonical forms; computation of canonical forms.
Series Title: Chapman and Hall mathematics series.
Responsibility: B. Hartley, T.O. Hawkes.

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