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Graded Rings and Graded Grothendieck Groups

Graded Rings and Graded Grothendieck Groups

Paperback

Series: London Mathematical Society Lecture Note, Book 435

Algebra

ISBN10: 1316619583
ISBN13: 9781316619582
Publisher: Cambridge University Press
Published: May 26 2016
Pages: 242
Weight: 0.80
Height: 0.56 Width: 6.00 Depth: 9.09
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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Algebra