The Auslander-Reiten quiver of the category of \(m\)-periodic complexes
From MaRDI portal
Publication:6146485
DOI10.1016/j.jpaa.2023.107569arXiv2304.04844MaRDI QIDQ6146485
Claudia Chaio, Isabel Pratti, María José Souto Salorio, Alfredo González Chaio
Publication date: 5 February 2024
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2304.04844
Category-theoretic methods and results in associative algebras (except as in 16D90) (16B50) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70)
Cites Work
- Unnamed Item
- Unnamed Item
- Covering theory for linear categories with application to derived categories
- Auslander-Reiten theory in a Krull-Schmidt category
- A note on the equivalence of \(m\)-periodic derived categories
- Representations of quivers over the algebra of dual numbers
- A generalization of Gabriel's Galois covering functors and derived equivalences
- The triangulated hull of periodic complexes
- A characterization of finite Auslander-Reiten quivers
- Root categories and simple Lie algebras
- Differential modules over quadratic monomial algebras
- Almost split sequences for complexes of fixed size.
- Stable equivalence of dualizing R-varieties
- On root categories of finite-dimensional algebras
- On non-homogeneous tubes and components of type \(\mathbb{Z}A_{\infty}\) in the bounded derived category
- Almost split sequences of \(m\)-cyclic complexes
- On sectional paths in a category of complexes of fixed size
- Irreducible morphisms of categories of complexes.
- Cyclic complexes, Hall polynomials and simple Lie algebras.
- On triangulated orbit categories
- Nonexistent cycles
- A construction of dualizing categories by tensor product of categories
- Auslander-Reiten triangles in derived categories
This page was built for publication: The Auslander-Reiten quiver of the category of \(m\)-periodic complexes