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...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge, United Kingdom :
Cambridge University Press,
2016.
|
| Schriftenreihe: | London Mathematical Society lecture note series ;
435. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | 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. |
| Beschreibung: | 1 online resource (vii, 235 pages) : illustrations |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9781316729748 1316729745 |
Internformat
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| 245 | 1 | 0 | |a Graded rings and graded Grothendieck groups / |c Roozbeh Hazrat, Western Sydney University. |
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| 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. | |
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| 650 | 0 | |a Rings (Algebra) |0 http://id.loc.gov/authorities/subjects/sh85114140 | |
| 650 | 6 | |a Groupes de Grothendieck. | |
| 650 | 6 | |a Anneaux gradués. | |
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| 650 | 7 | |a MATHEMATICS |x Algebra |x Intermediate. |2 bisacsh | |
| 650 | 7 | |a Anillos (Álgebra) |2 embne | |
| 650 | 7 | |a Graded rings |2 fast | |
| 650 | 7 | |a Grothendieck groups |2 fast | |
| 650 | 7 | |a Rings (Algebra) |2 fast | |
| 655 | 0 | |a Electronic books. | |
| 655 | 4 | |a Electronic books. | |
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| adam_text | |
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| author | Hazrat, Roozbeh, 1971- |
| author_GND | http://id.loc.gov/authorities/names/no2010135087 |
| author_facet | Hazrat, Roozbeh, 1971- |
| author_role | aut |
| author_sort | Hazrat, Roozbeh, 1971- |
| author_variant | r h rh |
| building | Verbundindex |
| bvnumber | localFWS |
| callnumber-first | Q - Science |
| callnumber-label | QA251 |
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| callnumber-subject | QA - Mathematics |
| collection | ZDB-4-EBA |
| 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. |
| ctrlnum | (OCoLC)959867581 |
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| dewey-ones | 512 - Algebra |
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| dewey-search | 512/.4 |
| dewey-sort | 3512 14 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | ZDB-4-EBA-ocn959867581 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:27:26Z |
| institution | BVB |
| isbn | 9781316729748 1316729745 |
| language | English |
| oclc_num | 959867581 |
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| series | London Mathematical Society lecture note series ; |
| series2 | London Mathematical Society lecture note series ; |
| spelling | Hazrat, Roozbeh, 1971- author. https://id.oclc.org/worldcat/entity/E39PCjxMJrFGpXfh8BqpXFt8BX http://id.loc.gov/authorities/names/no2010135087 Graded rings and graded Grothendieck groups / Roozbeh Hazrat, Western Sydney University. Cambridge, United Kingdom : Cambridge University Press, 2016. ©2016 1 online resource (vii, 235 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier London Mathematical Society lecture note series ; 435 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. Includes bibliographical references and index. 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. Print version record. Grothendieck groups. http://id.loc.gov/authorities/subjects/sh85057445 Graded rings. http://id.loc.gov/authorities/subjects/sh85056165 Rings (Algebra) http://id.loc.gov/authorities/subjects/sh85114140 Groupes de Grothendieck. Anneaux gradués. Anneaux (Algèbre) MATHEMATICS Algebra Intermediate. bisacsh Anillos (Álgebra) embne Graded rings fast Grothendieck groups fast Rings (Algebra) fast Electronic books. has work: Graded rings and graded Grothendieck groups (Text) https://id.oclc.org/worldcat/entity/E39PCGfWXr8k96GVydXk8XrWH3 https://id.oclc.org/worldcat/ontology/hasWork Print version: Hazrat, Roozbeh, 1971- Graded rings and graded Grothendieck groups. Cambridge, United Kingdom : Cambridge University Press, 2016 9781316619582 (DLC) 2016010216 (OCoLC)942885291 London Mathematical Society lecture note series ; 435. http://id.loc.gov/authorities/names/n42015587 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1244643 Volltext |
| spellingShingle | Hazrat, Roozbeh, 1971- Graded rings and graded Grothendieck groups / London Mathematical Society lecture note series ; 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. Grothendieck groups. http://id.loc.gov/authorities/subjects/sh85057445 Graded rings. http://id.loc.gov/authorities/subjects/sh85056165 Rings (Algebra) http://id.loc.gov/authorities/subjects/sh85114140 Groupes de Grothendieck. Anneaux gradués. Anneaux (Algèbre) MATHEMATICS Algebra Intermediate. bisacsh Anillos (Álgebra) embne Graded rings fast Grothendieck groups fast Rings (Algebra) fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85057445 http://id.loc.gov/authorities/subjects/sh85056165 http://id.loc.gov/authorities/subjects/sh85114140 |
| title | Graded rings and graded Grothendieck groups / |
| title_auth | Graded rings and graded Grothendieck groups / |
| title_exact_search | Graded rings and graded Grothendieck groups / |
| title_full | Graded rings and graded Grothendieck groups / Roozbeh Hazrat, Western Sydney University. |
| title_fullStr | Graded rings and graded Grothendieck groups / Roozbeh Hazrat, Western Sydney University. |
| title_full_unstemmed | Graded rings and graded Grothendieck groups / Roozbeh Hazrat, Western Sydney University. |
| title_short | Graded rings and graded Grothendieck groups / |
| title_sort | graded rings and graded grothendieck groups |
| topic | Grothendieck groups. http://id.loc.gov/authorities/subjects/sh85057445 Graded rings. http://id.loc.gov/authorities/subjects/sh85056165 Rings (Algebra) http://id.loc.gov/authorities/subjects/sh85114140 Groupes de Grothendieck. Anneaux gradués. Anneaux (Algèbre) MATHEMATICS Algebra Intermediate. bisacsh Anillos (Álgebra) embne Graded rings fast Grothendieck groups fast Rings (Algebra) fast |
| topic_facet | Grothendieck groups. Graded rings. Rings (Algebra) Groupes de Grothendieck. Anneaux gradués. Anneaux (Algèbre) MATHEMATICS Algebra Intermediate. Anillos (Álgebra) Graded rings Grothendieck groups Electronic books. |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1244643 |
| work_keys_str_mv | AT hazratroozbeh gradedringsandgradedgrothendieckgroups |