Idempotent completion of right suspended categories

AIMS Mathematics

article

Yutong Zhou¹ 

[1] College of Mathematics, Hunan Institute of Science and Technology

关键词: idempotent completion;    suspended categories;    triangulated categories;    exact categories;   

DOI  :  10.3934/math.2022743

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

We show that the idempotent completion of a right suspended category has a natural structure of right suspended category and dually this is true for a left suspended category. This unifies and extends results of Balmer-Schlichting, Bühler and Liu-Sun for triangulated, exact and right triangulated categories, respectively.

【 授权许可】

CC BY