
An Introduction to Module Theory
Oxford University Press
Published on 12. December 2024
Book
Paperback/Softback
608 pages
978-0-19-890491-5 (ISBN)
Description
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.
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.
More details
Series
Language
English
Place of publication
Oxford
United Kingdom
Target group
College/higher education
Product notice
Paperback (trade)
Unsewn / adhesive bound
Dimensions
Height: 233 mm
Width: 158 mm
Thickness: 31 mm
Weight
1034 gr
ISBN-13
978-0-19-890491-5 (9780198904915)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions

Ibrahim Assem | Flavio U. Coelho
An Introduction to Module Theory
Book
12/2024
Oxford University Press
€187.50
Shipment within 15-20 days

Ibrahim Assem | Flávio U. Coelho
An Introduction to Module Theory
E-Book
12/2024
OUP eBook
€51.49
Available for download
Persons
Ibrahim Assem is Professor Emeritus at the Universite de Sherbrooke, Quebec (Canada), where he has taught since 1988. He obtained his Ph. D. from Carleton University (Canada) in 1981. His main research interests are the representation theory of algebras, cluster algebras, category theory, and homological algebra. He has produced over 100 research papers and several books.
Flavio Ulhoa Coelho has been teaching at the University of Sao Paulo (USP) since 1985, and obtained his Ph.D. in 1990 from the University of Liverpool (UK). Full professor since 2003, he was the director of the Institute of Mathematics and Statistics of USP from 2010 to 2014. He has produced over 75 research papers in the area of representation theory of algebras and has published several books. He is a researcher at the Advanced Studies Institute of USP (IEA-USP) and the National Council for Scientific and Technological Development (CNPq) in Brazil.
Flavio Ulhoa Coelho has been teaching at the University of Sao Paulo (USP) since 1985, and obtained his Ph.D. in 1990 from the University of Liverpool (UK). Full professor since 2003, he was the director of the Institute of Mathematics and Statistics of USP from 2010 to 2014. He has produced over 75 research papers in the area of representation theory of algebras and has published several books. He is a researcher at the Advanced Studies Institute of USP (IEA-USP) and the National Council for Scientific and Technological Development (CNPq) in Brazil.
Author
Emeritus ProfessorEmeritus Professor, Universite de Sherbrooke, Quebec
Professor of MathematicsProfessor of Mathematics, Universidade de Sao Paulo