Categories and Modules with K-Theory in View (Cambridge Studies in Advanced Mathematics, Series Number 67) 1st Edition by A. J. Berrick (PDF)

Description

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.

User’s Reviews

Editorial Reviews: Book Description This book, first published in 2000, is a concise introduction at graduate level to ring theory, module theory and number theory.

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐I am the author’s grad student so my rating may be biased. Nonetheless I would recommend the book as a comprehensive and well-written intro to category theory. There is a wealth of examples and exercises to motivate discussion and add depth to the material.

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