Triangulated factorization systems and t-structures

JOURNAL OF ALGEBRA

卷:550

Article

Loregian, Fosco¹  Virili, Simone² 

[1] Tallinn Univ Technol, Akad Tee 15-2, EE-12618 Tallinn, Estonia

[2] Univ Murcia, Fac Matemat, Campus Espinardo, E-30100 Murcia, Spain

关键词: Factorization system;    Normal torsion theory;    Triangulated category;    t-Structure;   

DOI  :  10.1016/j.jalgebra.2019.12.021

来源: Elsevier

【 摘 要 】

We define triangulated factorization systems on triangulated categories, and prove that a suitable subclass thereof (the normal triangulated torsion theories) corresponds bijectively to t-structures on the same category. This result can be regarded as the triangulated analog of the theorem that says that 't-structures are normal torsion theories' in the setting of stable (infinity, 1)-categories, showing how the result remains true whatever the chosen model for stable homotopy theory is. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

Free