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Graded Rings and Graded Grothendieck Groups
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About This Book
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.
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Yes, you can access Graded Rings and Graded Grothendieck Groups by Roozbeh Hazrat in PDF and/or ePUB format, as well as other popular books in Mathematics & Algebra. We have over one million books available in our catalogue for you to explore.
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Table of contents
- Cover
- Series information
- Title page
- Copyright information
- Table of contents
- Introduction
- 1 Graded rings and graded modules
- 2 Graded Morita theory
- 3 Graded Grothendieck groups
- 4 Graded Picard groups
- 5 Graded ultramatricial algebras classification via [K sup(gr) sub(0)]
- 6 Graded versus nongraded (higher) K-theory
- References
- Index