Stable t-structures and Homotopy Category of Strongly Copure Projective Modules  

作　　者：ma xin zhao you-yi du xian-kun 

机构地区：[1]College of Natural Sciences, Gansu Agricultural University, Lanzhou, 730070 [2]不详

出　　处：《Communications in Mathematical Research》2017年第3期281-288,共8页数学研究通讯（英文版）

基　　金：The NSF(11461060)of China

摘　　要：In this paper, we study the homotopy category of unbounded complexes of strongly copure projective modules with bounded relative homologies K;（SCP）.We show that the existence of a right recollement of K;（SCP） with respect to K;（SCP）, K;（SCP） and K;（SCP） has the homotopy category of strongly copure projective acyclic complexes as a triangulated subcategory in some case.In this paper, we study the homotopy category of unbounded complexes of strongly copure projective modules with bounded relative homologies K^(∞,bscp)(SCP).We show that the existence of a right recollement of K^(∞,bscp)(SCP) with respect to K^(-,bscp)(SCP), K_(scpac)(SCP) and K^(∞,bscp)(SCP) has the homotopy category of strongly copure projective acyclic complexes as a triangulated subcategory in some case.

关 键 词：homotopy category RECOLLEMENT stable t-structure 

分 类 号：O154.1[理学—数学]