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An Introduction to Module Theory

Assem, Ibrahim

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Module theory is a fundamental area of algebra, taught in most universities at the graduate level. This textbook, written by two experienced teachers and researchers in the area, is based on courses given in their respective universities over the last thirty years. It is an accessible and modern account of module theory, meant as a textbook for graduate or advanced undergraduate students, though it can also be used for self-study. It is aimed at students in algebra, or students who need algebraic tools in their work.

Following the recent trends in the area, the general approach stresses from the start the use of categorical and homological techniques. The book includes self-contained introductions to category theory and homological algebra with applications to Module theory, and also contains an introduction to representations of quivers. It includes a very large number of examples of all kinds worked out in detail, mostly of abelian groups, modules over matrix algebras, polynomial algebras, or algebras given by bound quivers. In order to help visualise and analyse examples, it includes many figures. Each section is followed by exercises of all levels of difficulty, both computational and theoretical, with hints provided to some of them.

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Publisher

OXFORD UNIV PR USA

Bisac Major Subject

Mathematics

Binding Type

Hardcover

Country Of Origin

Number Of Units

Length

9.2 Inches

Barcode Indicator

EAN

Width

6.41 Inches

Publication Date

1970-01-01

Height

1.49 Inches

ISBN 10

0198904908

Weight

2.53 Pounds

Book EAN

9780198904908

Target Audiance

Adults

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An Introduction to Module Theory