Mutation Pairs in Abelian Categories

DOI10.1080/00927872.2015.1053900zbMath1355.18009OpenAlexW2536820745MaRDI QIDQ5740553

Panyue Zhou, Baiyu Ouyang, Jinde Xu

Publication date: 27 July 2016

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2015.1053900

zbMATH Keywords

triangulated categoryabelian categorycluster-tilting subcategorymutation pairsubfactor category

Mathematics Subject Classification ID

Representations of associative Artinian rings (16G10) Abelian categories, Grothendieck categories (18E10)

Related Items (1)

Triangulated quotient categories revisited

Cites Work

• Cluster tilting for higher Auslander algebras.
• Higher-dimensional Auslander-Reiten theory on maximal orthogonal subcategories.
• Applications of contravariantly finite subcategories
• Mutation in triangulated categories and rigid Cohen-Macaulay modules
• Tilting theory and cluster combinatorics.
• Rigid modules over preprojective algebras.
• Noetherian hereditary abelian categories satisfying Serre duality
• Triangulated Quotient Categories
• Left triangulated categories arising from contravariantly finite subcategories
• Representation Theory of Artin Algebras I
• Morphisms Determined by Objects in Triangulated Categories
• Homological and homotopical aspects of torsion theories

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