Triangulated Quotient Categories
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Publication:2850820
DOI10.1080/00927872.2012.676116zbMath1302.18010arXiv1204.2024OpenAlexW1981629223MaRDI QIDQ2850820
Publication date: 30 September 2013
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1204.2024
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Related Items (12)
Subfactor Categories of Triangulated Categories ⋮ Ideal mutations in triangulated categories and generalized Auslander-Reiten theory ⋮ QUOTIENT CATEGORIES OF n-ABELIAN CATEGORIES ⋮ Triangulated quotient categories revisited ⋮ Mutation pairs and quotient categories of Abelian categories ⋮ One-sided triangulated categories induced by concentric twin cotorsion pairs ⋮ A right triangulated version of Gentle-Todorov’s theorem ⋮ Reduction of triangulated categories and maximal modification algebras for \(cA_n\) singularities ⋮ Mutation Pairs in Abelian Categories ⋮ Cluster subalgebras and cotorsion pairs in Frobenius extriangulated categories ⋮ Subquotients of one-sided triangulated categories by rigid subcategories as module categories ⋮ Quotient categories of extriangulated categories
Cites Work
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- Cluster-tilted algebras are Gorenstein and stably Calabi-Yau
- From triangulated categories to abelian categories: cluster tilting in a general framework
- Mutation in triangulated categories and rigid Cohen-Macaulay modules
- Tilting theory and cluster combinatorics.
- Cluster algebras I: Foundations
- Left triangulated categories arising from contravariantly finite subcategories
- Quotients of cluster categories
- Quivers with relations arising from clusters (𝐴_{𝑛} case)
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