Cotorsion Pairs on m-term Subcategories  

作　　者：Yu Liu Panyue Zhou 

机构地区：[1]School of Mathematics and Statistics,Shaanxi Normal University,Xi’an,710062,P.R.China [2]School of Mathematics and Statistics,Changsha University of Science and Technology,Changsha,410114,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2025年第3期1023-1036,共14页数学学报(英文版)

基　　金：supported by the National Natural Science Foundation of China(Grant No.12171397);Panyue Zhou is supported by the National Natural Science Foundation of China(Grant No.12371034);by the Hunan Provincial Natural Science Foundation of China(Grant No.2023JJ30008)。

摘　　要：Let C be a triangulated category.We define m-term subcategories on C induced by n-rigid subcategories,which are extriangulated subcategories of.Then we give a one-to-one correspondence between cotorsion pairs on 2-term subcategories G and supportτ-tilting subcategories on an abelian quotient of G.If an m-term subcategory is induced by a co-t-structure,then we have a one-to-one correspondence between cotorsion pairs on it and cotorsion pairs on C under certain conditions.

关 键 词：Triangulated categories cotorsion pairs co-t-structures supportτ-tilting subcategories 

分 类 号：O15[理学—数学]