Description |
1 online resource (vii, 235 pages) : illustrations. |
Physical Medium |
polychrome |
Description |
text file |
Series |
London Mathematical Society lecture note series ; 435
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London Mathematical Society lecture note series ; 435.
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Summary |
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. |
Bibliography |
Includes bibliographical references and index. |
Contents |
Graded rings and graded modules -- Graded Morita theory -- Graded Grothendieck groups -- Graded Picard groups -- Graded ultramatricial algebras, classification via K[superscript gr]₀ -- Graded versus nongraded (higher) K-theory. |
Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
Subject |
Grothendieck groups.
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Grothendieck groups. |
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Graded rings.
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Graded rings. |
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Rings (Algebra)
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Rings (Algebra) |
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MATHEMATICS -- Algebra -- Intermediate. |
Other Form: |
Print version: Hazrat, Roozbeh, 1971- Graded rings and graded Grothendieck groups. Cambridge, United Kingdom : Cambridge University Press, 2016 9781316619582 (DLC) 2016010216 (OCoLC)942885291 |
ISBN |
9781316729748 (electronic book) |
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1316729745 (electronic book) |
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9781316619582 (paperback ; alkaline paper) |
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1316619583 (paperback ; alkaline paper) |
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9781316717134 |
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1316717135 |
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9781316729144 |
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1316729141 |
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