Remarks on dimensions of triangulated categories

JOURNAL OF ALGEBRA

卷:521

Article

Aihara, Takuma¹  Takahashi, Ryo² 

[1] Tokyo Gakugei Univ, Dept Math, 4-1-1 Nukuikita Machi, Koganei, Tokyo 1848501, Japan

[2] Nagoya Univ, Grad Sch Math, Chikusa Ku, Nagoya, Aichi 4648602, Japan

关键词: Triangulated category;    Derived category;    Dimension;    Locally finite;    Orthogonal subcategory;    Finite (Cohen Macaulay) representation type;   

DOI  :  10.1016/j.jalgebra.2018.12.001

来源: Elsevier

【 摘 要 】

We explore when a locally finite triangulated category has dimension zero or finite representation type. We also study generation of derived categories by orthogonal subcategories. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free