Characterizing τ-rigid-finite algebras with radical square zero

2014/01/07 by Takahide Adachi, Adachi, Takahide
Computer Science · Mathematics · #Advanced Algebra and Logic #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT) #math.RT

paper · pdf · doi:10.48550/arxiv.1401.1438

openalex publication_date 2014/01/07 · arxiv created 2014/03/01 · arxiv updated 2014/03/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we give a characterization of tau-rigid-finite algebras with radical square zero in terms of the separated quivers, which is an analog of a famous characterization of representation-finite algebras with radical square zero.

Citations

• τ-rigid modules for algebras with radical square zero
• The classification of τ-tilting modules over Nakayama algebras
• τ-tilting theory
• Classifying τ-tilting modules over preprojective algebras of Dynkin type

Related

• τ-rigid modules for algebras with radical square zero
• Derived categories for algebras with radical square zero
• The derived category of an algebra with radical square zero
• Representation Theory of Quivers and Finite-Dimensional Algebras
• Classification of the d-representation-finite trivial extensions of quiver algebras