RIGHT BI-GIRAUD RECOLLEMENTS OF ABELIAN CATEGORIES
Received:January 25, 2017  Revised:June 19, 2017
Key Word: right Bi-Giraud recollement, cohereditary and hereditary torsion pair, idempotent ideal.  
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Author NameAffiliationE-mail
Feng Jian Shanghai Jiao Tong University fengjian008@sina.com 
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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.
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