Right Bi-Giraud Recollements of Abelian Categories
Received:January 25, 2017  Revised:July 22, 2017
Key Word: right bi-Giraud recollements   cohereditary and hereditary torsion pairs   idempotent ideals  
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Author NameAffiliation
Jian FENG School of Mathematical Sciences, Shanghai Jiao Tong University, Shanghai 200240, P. R. China 
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Abstract:
      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.
Citation:
DOI:10.3770/j.issn:2095-2651.2017.06.003
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