An Introduction to Module Theory (Oxford Graduate Texts in Mathematics) - Tapa dura

Assem, Ibrahim; Coelho, Flávio U.

 
9780198904908: An Introduction to Module Theory (Oxford Graduate Texts in Mathematics)
Tapa dura
ISBN 10: 0198904908 ISBN 13: 9780198904908
Editorial: OUP Oxford, 2024

Sinopsis

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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Acerca del autor

Ibrahim Assem is Professor Emeritus at the Université de Sherbrooke, Québec (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.


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.


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Editorial
OUP Oxford
Año de publicación
2024
Idioma
Inglés
ISBN 10 
0198904908
ISBN 13 
9780198904908
Encuadernación
Tapa dura
Número de páginas
608
Contacto del fabricante
Oxford University Press
https://corp.oup.com/

WMF Platz 1
Geislingen/Steige
Baden-W?rttemberg
73312
Alemania

Otras ediciones populares con el mismo título

9780198904915: An Introduction to Module Theory (Oxford Graduate Texts in Mathematics)

Edición Destacada

ISBN 10:  0198904916 ISBN 13:  9780198904915
Editorial: OUP Oxford, 2024
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