Quotients of exact categories by cluster tilting subcategories as module categories

DOI10.1016/j.jpaa.2013.03.007zbMath1408.18021arXiv1208.0639OpenAlexW1968839094MaRDI QIDQ392222

Laurent Demonet, Yu Liu

Publication date: 13 January 2014

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.0639

Mathematics Subject Classification ID

Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15) Abelian categories, Grothendieck categories (18E10) Representation theory of associative rings and algebras (16G99)

Related Items (16)

From \(n\)-exangulated categories to \(n\)-abelian categories ⋮ Hearts of twin cotorsion pairs on extriangulated categories ⋮ Quotients of exact categories by pseudo-cluster-tilting subcategories ⋮ Abelian hearts of twin cotorsion pairs ⋮ Abelian categories arising from cluster tilting subcategories ⋮ Abelian quotients arising from extriangulated categories via morphism categories ⋮ LOCALIZATIONS OF THE HEARTS OF COTORSION PAIRS ⋮ Representations of quivers over the algebra of dual numbers ⋮ Half exact functors associated with cotorsion pairs on exact categories ⋮ Abelian quotients of extriangulated categories ⋮ Abelian categories arising from cluster tilting subcategories II: quotient functors ⋮ Relative homology, higher cluster-tilting theory and categorified Auslander-Iyama correspondence ⋮ Abelian quotients of categories of short exact sequences ⋮ Gorenstein dimension of abelian categories arising from cluster tilting subcategories ⋮ Unnamed Item ⋮ Subquotients of one-sided triangulated categories by rigid subcategories as module categories

Cites Work

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