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Resumen de Quotients of exact categories by cluster tilting subcategories as module categories

Laurent Demonet, Yu Liu

  • Weprove that some subquotient categories of exact categories are abelian. This generalizes a result by Koenig�Zhu in the case of (algebraic) triangulated categories. As a particular case, if an exact category B with enough projectives and injectives has a cluster tilting subcategory M, then B/M is abelian. More precisely, it is equivalent to the category of finitely presented modules overM.


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