Graded rings and graded Grothendieck groups /

Graded rings and graded Grothendieck groups /

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Bibliographic Details
Author / Creator:	Hazrat, Roozbeh, 1971- author.
Imprint:	Cambridge, United Kingdom : Cambridge University Press, 2016. ©2016
Description:	1 online resource (vii, 235 pages) : illustrations
Language:	English
Series:	London Mathematical Society lecture note series ; 435 London Mathematical Society lecture note series ; 435.
Subject:	Grothendieck groups. Graded rings. Rings (Algebra) Graded rings. Grothendieck groups. Rings (Algebra)
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/13540116

Hidden Bibliographic Details
ISBN:	9781316729748 1316729745 9781316619582 1316619583 9781316717134 1316717135 9781316729144 1316729141
Notes:	Includes bibliographical references and index. Print version record.
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.
Other form:	Print version: Hazrat, Roozbeh, 1971- Graded rings and graded Grothendieck groups. Cambridge, United Kingdom : Cambridge University Press, 2016 9781316619582

Table of Contents:

Graded rings and graded modules
Graded Morita theory
Graded Grothendieck groups
Graded Picard groups
Graded ultramatricial algebras, classification via K[superscript gr]₀
Graded versus nongraded (higher) K-theory.