Syzygy problems using stable cateories

2008 Fiscal Year Self-evaluation Report

• Project/Area Number: 18540044
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: Algebra
• Research Institution: Osaka Prefecture University
• Principal Investigator: KATO Kiriko Osaka Prefecture University, 大学院・理学系研究科, 准教授 (00347478)
• Project Period (FY): 2006 – 2009
• Keywords: 環論

Research Abstract

シジジー同値で環上の加群を分類し、この観点から環を特徴付ける。加群の安定圏や三角圏の枠組みで研究を進める。

Research Products

• [Journal Article] Syzyzies of Modules with positive codimension (2007)
  • Author(s): Kiriko Kato
  • Journal Title: Journal of Algebra Vol.318, no.1 Pages: 25-36
  • Peer Reviewed
• [Journal Article] Morphisms represented by monomorphisms (2007)
  • Author(s): Kiriko Kato
  • Journal Title: Journal of Pure and Applred Algebra Vol.208, no.1 Pages: 261-283
  • Peer Reviewed
• [Presentation] Recollement of homotopy categories and Cohen-Macaulay modules (2008)
  • Author(s): 加藤希理子
  • Organizer: Workshop on Representation Theory of Algebra
  • Place of Presentation: 静岡大学
  • Year and Date: 20080902-03
• [Presentation] Recollement of homotopy categories and Cohen-Macaulay modules (2008)
  • Author(s): 加藤希理子
  • Organizer: Commutative Algebra : Connections with Algebraic Topology and Representation Theory
  • Place of Presentation: 米国 Nebraska大学Lincoln校
  • Year and Date: 2008-05-18
• [Presentation] Triangulated categories over rings (2007)
  • Author(s): 加藤希理子
  • Organizer: 空間の代数的・幾何的モデルとその周辺
  • Place of Presentation: 信州大学
  • Year and Date: 2007-09-06
• [Presentation] Morphisms represented by monomorphisms (2006)
  • Author(s): Kiriko Kato
  • Organizer: Workshop on triangulated categories
  • Place of Presentation: 英国Leeds大学
  • Year and Date: 2006-08-15