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Graded rings and graded Grothendieck groups / Roozbeh Hazrat, University of Western Sydney.

By: Material type: TextTextSeries: London Mathematical Society lecture note series ; 435.Publisher: Cambridge : Cambridge University Press, 2016Description: 1 online resource (vii, 235 pages) : digital, PDF file(s)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781316717134 (ebook)
Other title:
  • Graded Rings & Graded Grothendieck Groups
Subject(s): Additional physical formats: Print version: : No titleDDC classification:
  • 512/.4 23
LOC classification:
  • QA251.5 .H39 2016
Online resources: 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.
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Title from publisher's bibliographic system (viewed on 05 May 2016).

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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