Relative AR-Correspondence, Co-t-Structure and Silting Pair  

作　　者：Peiyu ZHANG Ming CHEN 

机构地区：[1]School of Mathematics-Physics and Finance,Anhui Polytechnic University,Anhui 241000,P.R.China

出　　处：《Journal of Mathematical Research with Applications》2023年第5期557-572,共16页数学研究及应用（英文版）

基　　金：Supported by the National Natural Science Foundation of China (Grant No. 11801004);the Top Talent Project of AHPU in 2020 (Grants No. S022021055)。

摘　　要：As a generalization of tilting pair, which was introduced by Miyashita, the notion of silting pair is introduced in this paper. The authors extend a characterization of tilting modules given by Bazzoni to silting pairs, and prove that there is a one-to-one correspondence between equivalent classes of silting pairs and certain subcategories which satisfy some conditions.Furthermore, the authors also give a bijection between equivalent class of silting pairs and bounded above co-t-structure.

关 键 词：semi-selforthogonal silting pair covariantly finite subcategory AR-correspondence co-t-structure 

分 类 号：O153.3[理学—数学]