Rigid modules and ICE-closed subcategories in quiver representations

DOI10.1016/j.jalgebra.2021.12.008zbMath1491.16015arXiv2005.05536OpenAlexW3046222438MaRDI QIDQ2068142

Haruhisa Enomoto

Publication date: 19 January 2022

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

Full work available at URL: https://arxiv.org/abs/2005.05536

zbMATH Keywords

path algebrasexceptional sequencesrigid modulesICE-closed subcategories

Mathematics Subject Classification ID

Representations of quivers and partially ordered sets (16G20) Representations of associative Artinian rings (16G10)

Related Items (5)

Image-extension-closed subcategories of module categories of hereditary algebras ⋮ Mutating signed -exceptional sequences ⋮ -PERPENDICULAR WIDE SUBCATEGORIES ⋮ From the lattice of torsion classes to the posets of wide subcategories and ICE-closed subcategories ⋮ Monobrick, a uniform approach to torsion-free classes and wide subcategories

Uses Software

• OEIS

Cites Work

• A categorification of non-crossing partitions
• Homological theory of recollements of abelian categories
• Expansions of abelian categories
• Preprojective modules over Artin algebras
• On a simplicial complex associated with tilting modules
• \(Y\)-systems and generalized associahedra
• Classifications of exact structures and Cohen-Macaulay-finite algebras
• Applications of contravariantly finite subcategories
• Monobrick, a uniform approach to torsion-free classes and wide subcategories
• Tilting theory and cluster combinatorics.
• Noncrossing partitions and representations of quivers
• Tilted Algebras
• Generalized associahedra via quiver representations
• -tilting theory
• Categories and Sheaves
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