Cohen-Macaulay modules over Cohen-Macaulay rings /:
The purpose of these notes is to explain in detail some topics on the intersection of commutative algebra, representation theory and singularity theory. They are based on lectures given in Tokyo, but also contain new research. It is the first cohesive account of the area and will provide a useful sy...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Weitere Verfasser: | |
| Format: | Elektronisch E-Book |
| Sprache: | English Japanese |
| Veröffentlicht: |
Cambridge ; New York :
Cambridge University Press,
1990.
|
| Schriftenreihe: | London Mathematical Society lecture note series ;
146. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | The purpose of these notes is to explain in detail some topics on the intersection of commutative algebra, representation theory and singularity theory. They are based on lectures given in Tokyo, but also contain new research. It is the first cohesive account of the area and will provide a useful synthesis of recent research for algebraists. |
| Beschreibung: | "Dedicated to Professor Hideyuki Matsumura on his sixtieth birthday." |
| Beschreibung: | 1 online resource (177 pages) |
| Bibliographie: | Includes bibliographical references (pages 170-173) and indexes. |
| ISBN: | 9781107361478 1107361478 9780511892363 0511892365 |
Internformat
MARC
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|---|---|---|---|
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| 245 | 1 | 0 | |a Cohen-Macaulay modules over Cohen-Macaulay rings / |c Yuji Yoshino. |
| 260 | |a Cambridge ; |a New York : |b Cambridge University Press, |c 1990. | ||
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| 490 | 1 | |a London Mathematical Society lecture note series ; |v 146 | |
| 500 | |a "Dedicated to Professor Hideyuki Matsumura on his sixtieth birthday." | ||
| 504 | |a Includes bibliographical references (pages 170-173) and indexes. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | 0 | |t Preliminaries -- |t AR sequences and irreducible morphisms -- |t Isolated singularities -- |t Auslander categories -- |t AR quivers -- |t The Brauer-Thrall theorem -- |t Matrix factorizations -- |t Simple singularities -- |t One-dimensional CM rings of finite representation type -- |t McKay graphs -- |t Two-dimensional CM rings of finite representation type -- |t Knörrer's periodicity -- |t Grothendieck groups -- |t CM modules on quadrics -- |t Graded CM modules on graded CM rings -- |t CM modules on toric singularities -- |t Homogeneous CM rings of finite representation type -- |g Addenda. |
| 520 | |a The purpose of these notes is to explain in detail some topics on the intersection of commutative algebra, representation theory and singularity theory. They are based on lectures given in Tokyo, but also contain new research. It is the first cohesive account of the area and will provide a useful synthesis of recent research for algebraists. | ||
| 600 | 1 | 0 | |a Matsumura, Hideyuki, |d 1930- |0 http://id.loc.gov/authorities/names/n80026086 |
| 600 | 1 | 7 | |a Matsumura, Hideyuki, |d 1930- |2 fast |1 https://id.oclc.org/worldcat/entity/E39PBJdCkdpk8JF4XQFfBrkv73 |
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| 650 | 6 | |a Cohen-Macaulay, Anneaux. | |
| 650 | 6 | |a Modules de Cohen-Macaulay. | |
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| 758 | |i has work: |a Cohen-Macaulay modules over Cohen-Macaulay rings (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGdwwVffrgFDg6YBkXGFPP |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Yoshino, Yūji, 1954- |t Cohen-Macaulay modules over Cohen-Macaulay rings. |d Cambridge ; New York : Cambridge University Press, 1990 |z 0521356946 |w (DLC) 90002008 |w (OCoLC)21523153 |
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Datensatz im Suchindex
| DE-BY-FWS_katkey | ZDB-4-EBA-ocn839302799 |
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| _version_ | 1816882228951515136 |
| adam_text | |
| any_adam_object | |
| author | Yoshino, Yūji, 1954- |
| author2 | Matsumura, Hideyuki, 1930- |
| author2_role | |
| author2_variant | h m hm |
| author_GND | http://id.loc.gov/authorities/names/nr90006505 http://id.loc.gov/authorities/names/n80026086 |
| author_facet | Yoshino, Yūji, 1954- Matsumura, Hideyuki, 1930- |
| author_role | |
| author_sort | Yoshino, Yūji, 1954- |
| author_variant | y y yy |
| building | Verbundindex |
| bvnumber | localFWS |
| callnumber-first | Q - Science |
| callnumber-label | QA251 |
| callnumber-raw | QA251.3 .Y67 1990eb |
| callnumber-search | QA251.3 .Y67 1990eb |
| callnumber-sort | QA 3251.3 Y67 41990EB |
| callnumber-subject | QA - Mathematics |
| collection | ZDB-4-EBA |
| contents | Preliminaries -- AR sequences and irreducible morphisms -- Isolated singularities -- Auslander categories -- AR quivers -- The Brauer-Thrall theorem -- Matrix factorizations -- Simple singularities -- One-dimensional CM rings of finite representation type -- McKay graphs -- Two-dimensional CM rings of finite representation type -- Knörrer's periodicity -- Grothendieck groups -- CM modules on quadrics -- Graded CM modules on graded CM rings -- CM modules on toric singularities -- Homogeneous CM rings of finite representation type -- |
| ctrlnum | (OCoLC)839302799 |
| dewey-full | 512/.4 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.4 |
| dewey-search | 512/.4 |
| dewey-sort | 3512 14 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| genre | Festschriften fast Festschriften. lcgft http://id.loc.gov/authorities/genreForms/gf2016026082 |
| genre_facet | Festschriften Festschriften. |
| id | ZDB-4-EBA-ocn839302799 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-27T13:25:17Z |
| institution | BVB |
| isbn | 9781107361478 1107361478 9780511892363 0511892365 |
| language | English Japanese |
| oclc_num | 839302799 |
| open_access_boolean | |
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| publishDate | 1990 |
| publishDateSearch | 1990 |
| publishDateSort | 1990 |
| publisher | Cambridge University Press, |
| record_format | marc |
| series | London Mathematical Society lecture note series ; |
| series2 | London Mathematical Society lecture note series ; |
| spelling | Yoshino, Yūji, 1954- http://id.loc.gov/authorities/names/nr90006505 Cohen-Macaulay modules over Cohen-Macaulay rings / Yuji Yoshino. Cambridge ; New York : Cambridge University Press, 1990. 1 online resource (177 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier London Mathematical Society lecture note series ; 146 "Dedicated to Professor Hideyuki Matsumura on his sixtieth birthday." Includes bibliographical references (pages 170-173) and indexes. Print version record. Preliminaries -- AR sequences and irreducible morphisms -- Isolated singularities -- Auslander categories -- AR quivers -- The Brauer-Thrall theorem -- Matrix factorizations -- Simple singularities -- One-dimensional CM rings of finite representation type -- McKay graphs -- Two-dimensional CM rings of finite representation type -- Knörrer's periodicity -- Grothendieck groups -- CM modules on quadrics -- Graded CM modules on graded CM rings -- CM modules on toric singularities -- Homogeneous CM rings of finite representation type -- Addenda. The purpose of these notes is to explain in detail some topics on the intersection of commutative algebra, representation theory and singularity theory. They are based on lectures given in Tokyo, but also contain new research. It is the first cohesive account of the area and will provide a useful synthesis of recent research for algebraists. Matsumura, Hideyuki, 1930- http://id.loc.gov/authorities/names/n80026086 Matsumura, Hideyuki, 1930- fast https://id.oclc.org/worldcat/entity/E39PBJdCkdpk8JF4XQFfBrkv73 Cohen-Macaulay rings. http://id.loc.gov/authorities/subjects/sh93000097 Cohen-Macaulay modules. http://id.loc.gov/authorities/subjects/sh93000096 Cohen-Macaulay, Anneaux. Modules de Cohen-Macaulay. MATHEMATICS Algebra Intermediate. bisacsh Cohen-Macaulay modules fast Cohen-Macaulay rings fast Anneaux commutatifs. ram Modules (Algèbre) ram Festschriften fast Festschriften. lcgft http://id.loc.gov/authorities/genreForms/gf2016026082 has work: Cohen-Macaulay modules over Cohen-Macaulay rings (Text) https://id.oclc.org/worldcat/entity/E39PCGdwwVffrgFDg6YBkXGFPP https://id.oclc.org/worldcat/ontology/hasWork Print version: Yoshino, Yūji, 1954- Cohen-Macaulay modules over Cohen-Macaulay rings. Cambridge ; New York : Cambridge University Press, 1990 0521356946 (DLC) 90002008 (OCoLC)21523153 London Mathematical Society lecture note series ; 146. 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=552400 Volltext |
| spellingShingle | Yoshino, Yūji, 1954- Cohen-Macaulay modules over Cohen-Macaulay rings / London Mathematical Society lecture note series ; Preliminaries -- AR sequences and irreducible morphisms -- Isolated singularities -- Auslander categories -- AR quivers -- The Brauer-Thrall theorem -- Matrix factorizations -- Simple singularities -- One-dimensional CM rings of finite representation type -- McKay graphs -- Two-dimensional CM rings of finite representation type -- Knörrer's periodicity -- Grothendieck groups -- CM modules on quadrics -- Graded CM modules on graded CM rings -- CM modules on toric singularities -- Homogeneous CM rings of finite representation type -- Matsumura, Hideyuki, 1930- http://id.loc.gov/authorities/names/n80026086 Matsumura, Hideyuki, 1930- fast https://id.oclc.org/worldcat/entity/E39PBJdCkdpk8JF4XQFfBrkv73 Cohen-Macaulay rings. http://id.loc.gov/authorities/subjects/sh93000097 Cohen-Macaulay modules. http://id.loc.gov/authorities/subjects/sh93000096 Cohen-Macaulay, Anneaux. Modules de Cohen-Macaulay. MATHEMATICS Algebra Intermediate. bisacsh Cohen-Macaulay modules fast Cohen-Macaulay rings fast Anneaux commutatifs. ram Modules (Algèbre) ram |
| subject_GND | http://id.loc.gov/authorities/names/n80026086 http://id.loc.gov/authorities/subjects/sh93000097 http://id.loc.gov/authorities/subjects/sh93000096 http://id.loc.gov/authorities/genreForms/gf2016026082 |
| title | Cohen-Macaulay modules over Cohen-Macaulay rings / |
| title_alt | Preliminaries -- AR sequences and irreducible morphisms -- Isolated singularities -- Auslander categories -- AR quivers -- The Brauer-Thrall theorem -- Matrix factorizations -- Simple singularities -- One-dimensional CM rings of finite representation type -- McKay graphs -- Two-dimensional CM rings of finite representation type -- Knörrer's periodicity -- Grothendieck groups -- CM modules on quadrics -- Graded CM modules on graded CM rings -- CM modules on toric singularities -- Homogeneous CM rings of finite representation type -- |
| title_auth | Cohen-Macaulay modules over Cohen-Macaulay rings / |
| title_exact_search | Cohen-Macaulay modules over Cohen-Macaulay rings / |
| title_full | Cohen-Macaulay modules over Cohen-Macaulay rings / Yuji Yoshino. |
| title_fullStr | Cohen-Macaulay modules over Cohen-Macaulay rings / Yuji Yoshino. |
| title_full_unstemmed | Cohen-Macaulay modules over Cohen-Macaulay rings / Yuji Yoshino. |
| title_short | Cohen-Macaulay modules over Cohen-Macaulay rings / |
| title_sort | cohen macaulay modules over cohen macaulay rings |
| topic | Matsumura, Hideyuki, 1930- http://id.loc.gov/authorities/names/n80026086 Matsumura, Hideyuki, 1930- fast https://id.oclc.org/worldcat/entity/E39PBJdCkdpk8JF4XQFfBrkv73 Cohen-Macaulay rings. http://id.loc.gov/authorities/subjects/sh93000097 Cohen-Macaulay modules. http://id.loc.gov/authorities/subjects/sh93000096 Cohen-Macaulay, Anneaux. Modules de Cohen-Macaulay. MATHEMATICS Algebra Intermediate. bisacsh Cohen-Macaulay modules fast Cohen-Macaulay rings fast Anneaux commutatifs. ram Modules (Algèbre) ram |
| topic_facet | Matsumura, Hideyuki, 1930- Cohen-Macaulay rings. Cohen-Macaulay modules. Cohen-Macaulay, Anneaux. Modules de Cohen-Macaulay. MATHEMATICS Algebra Intermediate. Cohen-Macaulay modules Cohen-Macaulay rings Anneaux commutatifs. Modules (Algèbre) Festschriften Festschriften. |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=552400 |
| work_keys_str_mv | AT yoshinoyuji cohenmacaulaymodulesovercohenmacaulayrings AT matsumurahideyuki cohenmacaulaymodulesovercohenmacaulayrings |