Characterizing 𝜏-tilting finite algebras with radical square zero

DOI10.1090/proc/13162zbMath1383.16012arXiv1401.1438OpenAlexW2963774197MaRDI QIDQ2821729

Takahide Adachi

Publication date: 23 September 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.1438

zbMATH Keywords

\(\tau\)-tilting finite algebrasradical squareseparated quivers

Mathematics Subject Classification ID

Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Representations of quivers and partially ordered sets (16G20)

Related Items (17)

Classifying tilting modules over the Auslander algebras of radical square zero Nakayama algebras ⋮ τ-tilting modules over trivial extensions ⋮ Classifying torsion classes for algebras with radical square zero via sign decomposition ⋮ On the number of tilting modules over a class of Auslander algebras ⋮ On \(\tau\)-tilting finiteness of block algebras of direct products of finite groups ⋮ Schurian‐finiteness of blocks of type A$A$ Hecke algebras ⋮ The number of two-term tilting complexes over symmetric algebras with radical cube zero ⋮ On \(\tau\)-tilting finiteness of the Schur algebra ⋮ \(\tau\)-rigid modules over Auslander algebras ⋮ Classifying \(\tau\)-tilting modules over the Auslander algebra of \(K[x/(x^n)\)] ⋮ \(\tau\)-tilting finite triangular matrix algebras ⋮ Three results for \(\tau\)-rigid modules ⋮ Arc diagrams and 2-term simple-minded collections of preprojective algebras of type \(A\) ⋮ Silting Objects ⋮ On \(\tau \)-tilting finite simply connected algebras ⋮ Report on the finiteness of silting objects ⋮ MINIMAL (-)TILTING INFINITE ALGEBRAS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Classification of two-term tilting complexes over Brauer graph algebras
• Almost split sequences in subcategories
• Finite cycles of indecomposable modules.
• Two-term partial tilting complexes over Brauer tree algebras.
• Classifying \(\tau\)-tilting modules over preprojective algebras of Dynkin type
• Unzerlegbare Darstellungen. I. (Indecomposable representations. I)
• Reduction of τ-Tilting Modules and Torsion Pairs
• Regular Auslander-Reiten Components Containing Directing Modules
• $\boldsymbol{\tau}$ -Tilting Finite Algebras, Bricks, and $\boldsymbol{g}$-Vectors
• -tilting theory
• The classification of \(\tau\)-tilting modules over Nakayama algebras

This page was built for publication: Characterizing 𝜏-tilting finite algebras with radical square zero