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Look Inside Graded Rings and Graded Grothendieck Groups

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Graded Rings and Graded Grothendieck Groups

Part of London Mathematical Society Lecture Note Series

Author: Roozbeh Hazrat, Western Sydney University

Date Published: July 2016
availability: Available
format: Paperback
isbn: 9781316619582

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About the Authors

This study of graded rings includes the first systematic account of the graded Grothendieck group, a powerful and crucial invariant in algebra which has recently been adopted to classify the Leavitt path algebras. The book begins with a concise introduction to the theory of graded rings and then focuses in more detail on Grothendieck groups, Morita theory, Picard groups and K-theory. The author extends known results in the ungraded case to the graded setting and gathers together important results which are currently scattered throughout the literature. The book is suitable for advanced undergraduate and graduate students, as well as researchers in ring theory.
- The first systematic treatment of graded Grothendieck groups in the literature
- Brings together important results on the graded theory
- Covers the graded K-theory as a tool for classification
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Product details
- Date Published: July 2016
- format: Paperback
- isbn: 9781316619582
- length: 237 pages
- dimensions: 227 x 151 x 14 mm
- weight: 0.36kg
- contains: 1 b/w illus.
- availability: Available
Table of Contents
Introduction
1. Graded rings and graded modules
2. Graded Morita theory
3. Graded Grothendieck groups
4. Graded Picard groups
5. Classification of graded ultramatricial algebras
6. Graded versus ungraded K-theory
References
Index.
Look Inside
Author
Roozbeh Hazrat, Western Sydney University
Roozbeh Hazrat is Associate Professor in pure mathematics at the University of Western Sydney. In 2015 he was awarded a Fellowship for Experienced Researchers by Germany's Alexander von Humboldt Foundation.