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: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1990
|
| Schriftenreihe: | London Mathematical Society lecture note series
146 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 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: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (177 pages) |
| ISBN: | 9780511600685 |
| DOI: | 10.1017/CBO9780511600685 |
Internformat
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| 245 | 1 | 0 | |a Cohen-Macaulay modules over Cohen-Macaulay rings |c Yuji Yoshino |
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| 500 | |a Title from publisher's bibliographic system (viewed on 05 Oct 2015) | ||
| 505 | 8 | 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 | 4 | |a Matsumura, Hideyuki / 1930- |
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Datensatz im Suchindex
| _version_ | 1804176883747651584 |
|---|---|
| any_adam_object | |
| author | Yoshino, Yūji 1954- |
| author_GND | (DE-588)13778161X |
| author_facet | Yoshino, Yūji 1954- |
| author_role | aut |
| author_sort | Yoshino, Yūji 1954- |
| author_variant | y y yy |
| building | Verbundindex |
| bvnumber | BV043941673 |
| classification_rvk | SI 320 SK 230 |
| collection | ZDB-20-CBO |
| 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 | (ZDB-20-CBO)CR9780511600685 (OCoLC)891427196 (DE-599)BVBBV043941673 |
| 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 |
| doi_str_mv | 10.1017/CBO9780511600685 |
| format | Electronic eBook |
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| genre | 1\p (DE-588)4143413-4 Aufsatzsammlung gnd-content |
| genre_facet | Aufsatzsammlung |
| id | DE-604.BV043941673 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:16Z |
| institution | BVB |
| isbn | 9780511600685 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029350643 |
| oclc_num | 891427196 |
| open_access_boolean | |
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| owner_facet | DE-12 DE-92 |
| physical | 1 online resource (177 pages) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO |
| publishDate | 1990 |
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| publisher | Cambridge University Press |
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| series2 | London Mathematical Society lecture note series |
| spelling | Yoshino, Yūji 1954- Verfasser aut Cohen-Macaulay modules over Cohen-Macaulay rings Yuji Yoshino Cambridge Cambridge University Press 1990 1 online resource (177 pages) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 146 Title from publisher's bibliographic system (viewed on 05 Oct 2015) 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- Cohen-Macaulay rings Cohen-Macaulay modules Cohen-Macaulay-Modul (DE-588)4618172-6 gnd rswk-swf Cohen-Macaulay-Ring (DE-588)4200397-0 gnd rswk-swf Modul (DE-588)4129770-2 gnd rswk-swf 1\p (DE-588)4143413-4 Aufsatzsammlung gnd-content Cohen-Macaulay-Modul (DE-588)4618172-6 s Cohen-Macaulay-Ring (DE-588)4200397-0 s 2\p DE-604 Modul (DE-588)4129770-2 s 3\p DE-604 Matsumura, Hideyuki 1930- Sonstige (DE-588)13778161X oth Erscheint auch als Druckausgabe 978-0-521-35694-7 https://doi.org/10.1017/CBO9780511600685 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Yoshino, Yūji 1954- Cohen-Macaulay modules over Cohen-Macaulay rings 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- Cohen-Macaulay rings Cohen-Macaulay modules Cohen-Macaulay-Modul (DE-588)4618172-6 gnd Cohen-Macaulay-Ring (DE-588)4200397-0 gnd Modul (DE-588)4129770-2 gnd |
| subject_GND | (DE-588)4618172-6 (DE-588)4200397-0 (DE-588)4129770-2 (DE-588)4143413-4 |
| 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- Cohen-Macaulay rings Cohen-Macaulay modules Cohen-Macaulay-Modul (DE-588)4618172-6 gnd Cohen-Macaulay-Ring (DE-588)4200397-0 gnd Modul (DE-588)4129770-2 gnd |
| topic_facet | Matsumura, Hideyuki / 1930- Cohen-Macaulay rings Cohen-Macaulay modules Cohen-Macaulay-Modul Cohen-Macaulay-Ring Modul Aufsatzsammlung |
| url | https://doi.org/10.1017/CBO9780511600685 |
| work_keys_str_mv | AT yoshinoyuji cohenmacaulaymodulesovercohenmacaulayrings AT matsumurahideyuki cohenmacaulaymodulesovercohenmacaulayrings |