Recollements, idempotent completions and t-structures of triangulated categories

JOURNAL OF ALGEBRA

卷:319

Article

Chen, Qinghua²  Tang, Lidan¹ 

[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China

[2] Fujian Normal Univ, Sch Math & Comp Sci, Fuzhou 350007, Peoples R China

关键词: right recollement;    left recollement;    idempotent completion;    t-structure;   

DOI  :  10.1016/j.jalgebra.2007.10.031

来源: Elsevier

【 摘 要 】

We first prove that the idempotent completion of a right or left recollement of triangulated categories is still a right or left recollement, then show that the t-structure on a triangulated category is compatible with taking idempotent completion. Finally, an application of the main theorem is given, which is focused on the boundedness and nondegeneration of the t-structure induced by a recollement and its idempotent completion. (C) 2007 Elsevier Inc. All rights reserved.

【 授权许可】

Free