Cohen-Macaulay modules over Cohen-Macaulay rings
著者
書誌事項
Cohen-Macaulay modules over Cohen-Macaulay rings
（London Mathematical Society lecture note series, 146）
Cambridge University Press, 1990
- : pbk
- タイトル別名
-
CM modules over Hensel CM rings
大学図書館所蔵 件 / 全88件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
この図書・雑誌をさがす
注記
Translation of: Hensel環上のmaximal CM加群 (都立大学数学教室セミナー報告)
"Dedicated to Professor Hideyuki Matsumura on his sixtieth birthday"
Bibliography: p. 170-173
Includes indexes
内容説明・目次
内容説明
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.
目次
- 1. Preliminaries
- 2. AR sequences and irreducible morphisms
- 3. Isolated singularities
- 4. Auslander categories
- 5. AR quivers
- 6. The Brauer-Thrall theorem
- 7. Matrix factorizations
- 8. Simple singularities
- 9. One-dimensional Cm rings of finite representation type
- 10. McKay graphs
- 11. Two-dimensional CM rings of finite representation type
- 12. Knoerrer's periodicity
- 13. Grothendieck groups
- 14. CM modules on quadrics
- 15. Graded CM modules on graded CM rings
- 16. CM modules on toric singularities
- 17. Homogeneous CM rings of finite representation type
- Addenda
- References.
「Nielsen BookData」 より