Graded rings and graded Grothendieck groups

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 foc...

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Main Author: Hazrat, Roozbeh
Format: eBook
Language:English
Published: Cambridge Cambridge University Press 2016
Series:London Mathematical Society lecture note series
Subjects:
Online Access:
Collection: Cambridge Books Online - Collection details see MPG.ReNa
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246 3 1 |a Graded Rings & Graded Grothendieck Groups 
260 |a Cambridge  |b Cambridge University Press  |c 2016 
300 |a vii, 235 pages  |b digital 
653 |a Grothendieck groups 
653 |a Graded rings 
653 |a Rings (Algebra) 
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520 |a 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