Left Frobenius Pairs,Cotorsion Pairs and Weak Auslander-Buchweitz Contexts in Triangulated Categories

作     者：Xin Ma Tiwei Zhao Zhaoyong Huang Nanqing Ding 

作者机构：College of ScienceHenan University of EngineeringZhengzhou 451191China School of Mathematical SciencesQufu Normal University QufuShandong 273165China Department of MathematicsNanjing UniversityNanjing 210093China 不详 

出 版 物：《Algebra Colloquium》 (代数集刊（英文版）)

年 卷 期：2024年第31卷第2期

页      面：285-308页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：supported by the NSF of China(12001168,11901341,11971225,12171207) Henan University of Engineering(DKJ2019010) the Key Research Project of Education Department of Henan Province(21A110006) Youth Innovation Team of Universities of Shandong Province(2022KJ314) 

主　　题：left Frobenius pairs left n-cotorsion pairs left(weak)Auslander-Buchweitz contexts homological dimensions 

摘      要：Let T be a triangulated category with a proper classξof *** introduce the notions of left Frobenius pairs,left(n-)cotorsion pairs and left(weak)Auslander-Buchweitz contexts with respect toξin *** show how to construct left cotorsion pais from left n-cotorsion pairs,and establish a one-to-one correspondence between left Frobenius pairs and left(weak)Auslander-Buchweitz *** applications are given in the Gorenstein homological theory of triangulated categories.