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portada Categories and Modules With K-Theory in View Hardback (Cambridge Studies in Advanced Mathematics)
Type
Physical Book
Year
2000
Language
English
Pages
380
Format
Hardcover
Dimensions
22.9 x 15.2 x 2.5 cm
Weight
0.73 kg.
ISBN
0521632765
ISBN13
9780521632768
Edition No.
1

Categories and Modules With K-Theory in View Hardback (Cambridge Studies in Advanced Mathematics)

A. J. Berrick (Author) · M. E. Keating (Author) · Cambridge University Press · Hardcover

Categories and Modules With K-Theory in View Hardback (Cambridge Studies in Advanced Mathematics) - Berrick, A. J. ; Keating, M. E.

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Synopsis "Categories and Modules With K-Theory in View Hardback (Cambridge Studies in Advanced Mathematics)"

This book develops aspects of category theory fundamental to the study of algebraic K-theory. Starting with categories in general, the text then examines categories of K-theory and moves on to tensor products and the Morita theory. The categorical approach to localizations and completions of modules is formulated in terms of direct and inverse limits. The authors consider local-global techniques that supply information about modules from their localizations and completions and underlie some interesting applications of K-theory to number theory and geometry. Many useful exercises, concrete illustrations of abstract concepts, and an extensive list of references are included.

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