The Stabilization and Idempotent Completion of a Left Triangulated Category

• 作 者: Lin XIN Yixin FU
• 机 构: DepartmentofMathematics
• 出 处: 数学研究及应用：英文版
• 发表日期: 2012年2期
• 关键词: 三角形 幂等 稳定 范畴 CC 等价 left triangulated category idempotent completion stabilizatio
• 基金项目: Supported by the National Natural Science Foundation of China （Grant No. 11071040） and the Natural Science Foundation of Fujian Province （Grant No. 2011J01004）.

Let (CΩ△) be a left triangulated category with a fully faithful endofunctor.We show a triangle-equivalence (S(C),△) ～=(S(C),△),where (S(C)△,) denotes the stabilization of the idempotent completion of (C,△) and (S(C),△) denotes the idempotent completion of