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A. Jon Berrick, M. E. Keating

Published by CAMBRIDGE UNIVERSITY PRESS, United Kingdom (2011)

ISBN 10: 0521632749 ISBN 13: 9780521632744

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About this Item: CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2011. Hardback. Condition: New. New. Language: English . Brand New Book ***** Print on Demand *****. 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. Seller Inventory # APC9780521632744

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A. Jon Berrick, M. E. Keating

Published by CAMBRIDGE UNIVERSITY PRESS, United Kingdom (2011)

ISBN 10: 0521632749 ISBN 13: 9780521632744

New
Hardcover

Quantity Available: 10

From: The Book Depository (London, United Kingdom)

Seller Rating: 5-star rating

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Price: US$ 128.84
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Shipping: FREE
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About this Item: CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2011. Hardback. Condition: New. New. Language: English . Brand New Book ***** Print on Demand *****.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. Seller Inventory # APC9780521632744

More information about this seller | Contact this seller 2.

A. Jon Berrick, M. E. Keating

Published by CAMBRIDGE UNIVERSITY PRESS, United Kingdom (2012)

ISBN 10: 0521632765 ISBN 13: 9780521632768

New
Hardcover

Quantity Available: 10

From: Book Depository International (London, United Kingdom)

Seller Rating: 5-star rating

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Price: US$ 168.03
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About this Item: CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2012. Hardback. Condition: New. New.. Language: English . Brand New Book ***** Print on Demand *****. This book, first published in 2000, develops aspects of category theory fundamental to the study of algebraic K-theory. Ring and module theory illustrates category theory which provides insight into more advanced topics in module theory. Starting with categories in general, the text then examines categories of K-theory. This leads to the study of tensor products and the Morita theory. The categorical approach to localizations and completions of modules is formulated in terms of direct and inverse limits, prompting a discussion of localization of categories in general. Finally, local-global techniques which supply information about modules from their localizations and completions and underlie some interesting applications of K-theory to number theory and geometry are considered. Many useful exercises, concrete illustrations of abstract concepts placed in their historical settings and an extensive list of references are included. This book will help all who wish to work in K-theory to master its prerequisites. Seller Inventory # APC9780521632768

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A. Jon Berrick, M. E. Keating

Published by CAMBRIDGE UNIVERSITY PRESS, United Kingdom (2012)

ISBN 10: 0521632765 ISBN 13: 9780521632768

New
Hardcover

Quantity Available: 10

From: The Book Depository (London, United Kingdom)

Seller Rating: 5-star rating

Add to Basket
Price: US$ 171.51
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Shipping: FREE
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Destination, Rates & Speeds

About this Item: CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2012. Hardback. Condition: New. New.. Language: English . Brand New Book ***** Print on Demand *****.This book, first published in 2000, develops aspects of category theory fundamental to the study of algebraic K-theory. Ring and module theory illustrates category theory which provides insight into more advanced topics in module theory. Starting with categories in general, the text then examines categories of K-theory. This leads to the study of tensor products and the Morita theory. The categorical approach to localizations and completions of modules is formulated in terms of direct and inverse limits, prompting a discussion of localization of categories in general. Finally, local-global techniques which supply information about modules from their localizations and completions and underlie some interesting applications of K-theory to number theory and geometry are considered. Many useful exercises, concrete illustrations of abstract concepts placed in their historical settings and an extensive list of references are included. This book will help all who wish to work in K-theory to master its prerequisites. Seller Inventory # APC9780521632768

More information about this seller | Contact this seller 4.

Results (1 - 4) of 4