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An Introduction to Rings and Modules: With K-Theory in View: 65 (Cambridge Studies in Advanced Mathematics, Series Number 65) - Hardcover
Synopsis
This book, first published in 2000, is a concise introduction to ring theory, module theory and number theory, ideal for a first year graduate student, as well as an excellent reference for working mathematicians in other areas. Starting from definitions, the book introduces fundamental constructions of rings and modules, as direct sums or products, and by exact sequences. It then explores the structure of modules over various types of ring: noncommutative polynomial rings, Artinian rings (both semisimple and not), and Dedekind domains. It also shows how Dedekind domains arise in number theory, and explicitly calculates some rings of integers and their class groups. About 200 exercises complement the text and introduce further topics. This book provides the background material for the authors' companion volume Categories and Modules, soon to appear. Armed with these two texts, the reader will be ready for more advanced topics in K-theory, homological algebra and algebraic number theory.
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Review
'... an excellent concise introduction to the theory of rings and modules ...'. Tong Wenting, Zentralblatt MATH
Book Description
This book, first published in 2000, is a concise introduction to ring theory, module theory and number theory, ideal for a first year graduate student, as well as an excellent reference for working mathematicians in other areas. About 200 exercises complement the text and introduce further topics.
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An Introduction to Rings and Modules: With K-Theory in View . Cambridge Studies in Advanced Mathematics, Series Number 65.
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Cambridge University Press. 2000., 2000
ISBN 10: 0521632749
ISBN 13: 9780521632744
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An Introduction to Rings and Modules: With K-Theory in View (Cambridge Studies in Advanced Mathematics, Series Number 65)
Published by
Cambridge University Press, 2000
ISBN 10: 0521632749
ISBN 13: 9780521632744
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An Introduction to Rings and Modules: With K-Theory in View
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ISBN 10: 0521632749
ISBN 13: 9780521632744
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An Introduction to Rings and Modules: With K-Theory in View (Hardcover)
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Cambridge University Press, Cambridge, 2000
ISBN 10: 0521632749
ISBN 13: 9780521632744
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Hardcover. Condition: new. Hardcover. This is a concise introduction to ring theory, module theory and number theory, ideal for a first year graduate student, as well as an excellent reference for working mathematicians in other areas. Starting from definitions, the book introduces fundamental constructions of rings and modules, as direct sums or products, and by exact sequences. It then explores the structure of modules over various types of ring: noncommutative polynomial rings, Artinian rings (both semisimple and not), and Dedekind domains. It also shows how Dedekind domains arise in number theory, and explicitly calculates some rings of integers and their class groups. About 200 exercises complement the text and introduce further topics. This book provides the background material for the authors' companion volume Categories and Modules, soon to appear. Armed with these two texts, the reader will be ready for more advanced topics in K-theory, homological algebra and algebraic number theory. This concise introduction to ring theory, module theory and number theory is ideal for a first year graduate student, as well as being an excellent reference for working mathematicians in other areas. Starting from definitions, the book introduces fundamental constructions of rings and modules, as direct sums or products, and by exact sequences. It then explores the structure of modules over various types of ring: noncommutative polynomial rings, Artinian rings (both semisimple and not), and Dedekind domains. It also shows how Dedekind domains arise in number theory, and explicitly calculates some rings of integers and their class groups. About 200 exercises complement the text and introduce further topics. This book provides the background material for the authors' forthcoming companion volume Categories and Modules. Armed with these two texts, the reader will be ready for more advanced topics in K-theory, homological algebra and algebraic number theory. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9780521632744
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An Introduction to Rings and Modules: With K-Theory in View
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An Introduction to Rings and Modules: With K-Theory in View (Cambridge Studies in Advanced Mathematics, Series Number 65)
Published by
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ISBN 10: 0521632749
ISBN 13: 9780521632744
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An Introduction to Rings and Modules
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Gebunden. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This book, first published in 2000, is a concise introduction to ring theory, module theory and number theory, ideal for a first year graduate student, as well as an excellent reference for working mathematicians in other areas. About 200 exercises compleme. Seller Inventory # 446943132
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An Introduction to Rings and Modules: With K-Theory in View (Cambridge Studies in Advanced Mathematics, Series Number 65)
Published by
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ISBN 10: 0521632749
ISBN 13: 9780521632744
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An Introduction to Rings and Modules: With K-Theory in View (Cambridge Studies in Advanced Mathematics, Series Number 65)
Published by
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ISBN 10: 0521632749
ISBN 13: 9780521632744
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An Introduction to Rings and Modules
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