Subquotients of one-sided triangulated categories by rigid subcategories as module categories

DOI10.1142/S0219498815501042zbMath1327.18020arXiv1302.2062MaRDI QIDQ5255724

Zengqiang Lin, Yang Zhang

Publication date: 19 June 2015

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.2062

zbMATH Keywords

quotient categoryrigid subcategoryright triangulated category

Mathematics Subject Classification ID

Abelian categories, Grothendieck categories (18E10)

Cites Work

• Quotients of exact categories by cluster tilting subcategories as module categories
• Higher-dimensional Auslander-Reiten theory on maximal orthogonal subcategories.
• Cluster-tilted algebras are Gorenstein and stably Calabi-Yau
• Stable equivalence of dualizing R-varieties
• From triangulated categories to abelian categories: cluster tilting in a general framework
• Mutation in triangulated categories and rigid Cohen-Macaulay modules
• Triangulated Quotient Categories
• Cluster-tilted algebras
• Left triangulated categories arising from contravariantly finite subcategories

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