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:
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

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100 1 |a Hazrat, Roozbeh,  |d 1971-  |e author.  |0 http://id.loc.gov/authorities/names/no2010135087 
245 1 0 |a Graded rings and graded Grothendieck groups /  |c Roozbeh Hazrat, Western Sydney University. 
264 1 |a Cambridge, United Kingdom :  |b Cambridge University Press,  |c 2016. 
264 4 |c ©2016 
300 |a 1 online resource (vii, 235 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a London Mathematical Society lecture note series ;  |v 435 
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. 
504 |a Includes bibliographical references and index. 
505 0 |a 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. 
588 0 |a Print version record. 
650 0 |a Grothendieck groups.  |0 http://id.loc.gov/authorities/subjects/sh85057445 
650 0 |a Graded rings.  |0 http://id.loc.gov/authorities/subjects/sh85056165 
650 0 |a Rings (Algebra)  |0 http://id.loc.gov/authorities/subjects/sh85114140 
650 6 |a Groupes de Grothendieck. 
650 6 |a Anneaux gradués. 
650 6 |a Anneaux (Algèbre) 
650 7 |a MATHEMATICS  |x Algebra  |x Intermediate.  |2 bisacsh 
650 7 |a Graded rings.  |2 fast  |0 (OCoLC)fst00945789 
650 7 |a Grothendieck groups.  |2 fast  |0 (OCoLC)fst00948129 
650 7 |a Rings (Algebra)  |2 fast  |0 (OCoLC)fst01098024 
776 0 8 |i Print version:  |a Hazrat, Roozbeh, 1971-  |t Graded rings and graded Grothendieck groups.  |d Cambridge, United Kingdom : Cambridge University Press, 2016  |z 9781316619582  |w (DLC) 2016010216  |w (OCoLC)942885291 
830 0 |a London Mathematical Society lecture note series ;  |v 435.  |0 http://id.loc.gov/authorities/names/n42015587 
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