Split t-structures and torsion pairs in hereditary categories

DOI10.1142/S0219498818502183zbMath1403.18009arXiv1704.00858OpenAlexW2608232999MaRDI QIDQ4644390

María José Souto Salorio, Sonia Trepode, Ibrahim Assem

Publication date: 4 January 2019

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

Full work available at URL: https://arxiv.org/abs/1704.00858

zbMATH Keywords

tiltinghereditary categoriessplit\(t\)-structurestorsion pair

Mathematics Subject Classification ID

Torsion theories, radicals (18E40) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70)

Cites Work

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• Tame algebras and integral quadratic forms
• Cluster-tilted algebras and slices.
• Almost split sequences in subcategories
• Constructing torsion pairs
• Hereditary categories with tilting object
• Ext-projectives in suspended subcategories
• Stability conditions, torsion theories and tilting
• Morita Theory for Derived Categories
• Tilting Wild Algebras
• Tilting in abelian categories and quasitilted algebras
• A Torsion Theory for Abelian Categories
• A characterization of hereditary categories with tilting object

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