An Introduction to Module Theory
Language: English
Published by Oxford University Press Mär 2025, 2025
- Softcover
- New
Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH
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Neuware - 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. …
Seller Inventory # 9780198904915
- Title
- An Introduction to Module Theory
- Author
- Ibrahim Assem
- Publisher
- Oxford University Press Mär 2025
- Publication year
- 2025
- Condition
- Neu
- Binding
- Taschenbuch
- Language
- English
- ISBN 10
- 0198904916
- ISBN 13
- 9780198904915
- Item weight
- 1,034 grams
- Dimensions
- 233x158x31 mm
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.
"Synopsis" may belong to another edition of this title.
About the Author
Flávio Ulhoa Coelho has been teaching at the University of São 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.
"About the title" may belong to another edition of this title.
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