Right Bi-Giraud Recollements of Abelian Categories  

作　　者：Jian FENG 

机构地区：[1]School of Mathematical Sciences, Shanghai Jiao Tong University, Shanghai 200240, P. R. China

出　　处：《Journal of Mathematical Research with Applications》2017年第6期657-666,共10页数学研究及应用（英文版）

摘　　要：We introduce the notion of a right bi-Giraud recollement for abelian categories. We show that right bi-Giraud recollements are bijective to cohereditary and hereditary torsion pairs. We obtain such torsion pairs in the module category via certain idempotent ideals.We introduce the notion of a right bi-Giraud recollement for abelian categories. We show that right bi-Giraud recollements are bijective to cohereditary and hereditary torsion pairs. We obtain such torsion pairs in the module category via certain idempotent ideals.

关 键 词：right bi-Giraud recollements cohereditary and hereditary torsion pairs idempo-tent ideals 

分 类 号：O154.1[理学—数学]