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Table of contents (14 chapters)
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Front Matter
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Back Matter
Keywords
Reviews
From the reviews of the first edition:
"This is the first of two volumes which aim to take the theory of associative rings and their modules from fundamental definitions to the research frontier. The book is written at a level intended to be accessible to students who have taken standard basic undergraduate courses in linear algebra and abstract algebra. … has been written with considerable attention to accuracy, and has been proofread with care. … A very welcome feature is the substantial set of bibliographic and historical notes at the end of each chapter." (Kenneth A. Brown, Mathematical Reviews, 2006a)
"This book follows in the footsteps of the valuable work done during the seventies of systematizing the investigation of properties and structure of rings by using their categories of modules. … A remarkable novelty in the present monograph is the study of semiperfect rings by means of quivers. … Another good idea is the inclusion of the study of commutative as well as non-commutative discrete valuation rings. Each chapter ends with some illustrative historical notes." (José Gómez Torrecillas, Zentralblatt MATH, Vol. 1086 (12), 2006)
Authors and Affiliations
Bibliographic Information
Book Title: Algebras, Rings and Modules
Book Subtitle: Volume 1
Authors: Michiel Hazewinkel, Nadiya Gubareni, V. V. Kirichenko
Series Title: Mathematics and Its Applications
DOI: https://doi.org/10.1007/1-4020-2691-9
Publisher: Springer Dordrecht
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media B.V. 2004
Hardcover ISBN: 978-1-4020-2690-4Published: 01 October 2004
Softcover ISBN: 978-90-481-6704-3Published: 29 January 2011
eBook ISBN: 978-1-4020-2691-1Published: 18 January 2006
Edition Number: 1
Number of Pages: XII, 380
Topics: Associative Rings and Algebras, Commutative Rings and Algebras