Graded Rings and Graded Grothendieck Groups

Graded Rings and Graded Grothendieck Groups

Author
Roozbeh Hazrat
Publisher
Cambridge University Press
Language
English
Edition
1
Year
2016
Page
237
ISBN
1316619583,9781316619582
File Type
pdf
File Size
2.8 MiB

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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