Graded Rings and Graded Grothendieck Groups

Nonfiction, Science & Nature, Mathematics, Geometry, Algebra
Cover of the book Graded Rings and Graded Grothendieck Groups by Roozbeh Hazrat, Cambridge University Press
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Author: Roozbeh Hazrat ISBN: 9781316727348
Publisher: Cambridge University Press Publication: May 26, 2016
Imprint: Cambridge University Press Language: English
Author: Roozbeh Hazrat
ISBN: 9781316727348
Publisher: Cambridge University Press
Publication: May 26, 2016
Imprint: Cambridge University Press
Language: English

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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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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