Quotients of exact categories by cluster tilting subcategories as module categories
- Autores: Laurent Demonet, Yu Liu
- Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 217, Nº 12, 2013, págs. 2282-2297
- Idioma: inglés
- DOI: 10.1016/j.jpaa.2013.03.007
- Enlaces
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Resumen
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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