Auslander–Reiten components with bounded short cycles
From MaRDI portal
Publication:4567832
DOI10.1080/00927872.2017.1363222zbMath1440.16013arXiv1701.02794OpenAlexW2573081752MaRDI QIDQ4567832
Publication date: 20 June 2018
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1701.02794
Auslander-Reiten componentsJacobson radicaltranslation quiversAuslander-Reiten quiverAuslander-Reiten sequencestilted algebrasrepresentation-finite algebrasirreducible mapscycles in a module category
Representations of orders, lattices, algebras over commutative rings (16G30) Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A characterization of cycle-finite generalized double tilted algebras.
- Auslander-Reiten theory in a Krull-Schmidt category
- Tilted algebras and generalized standard Auslander-Reiten components
- A characterization of finite Auslander-Reiten quivers
- Modules determined by their composition factors
- Tame algebras and integral quadratic forms
- Directing modules
- The connected components of the Auslander-Reiten quiver of a tilted algebra
- Generalized double tilted algebras.
- Generalized standard Auslander-Reiten components
- Cycle-finite algebras
- Finite cycles of indecomposable modules.
- Another characterization of tilted algebras.
- On categories of indecomposable modules. I
- Degrees of Irreducible Maps and the Shapes of Auslander-Reiten Quivers
- Tilted Algebras
- Short Chains and Short Cycles of Modules
- On the Number of DTr-Orbits Containing Directing Modules
- Module Categories Without Short Cycles Are of Finite Type
- Semi-Stable Components of an Auslander-Reiten Quiver
- On Short Cycles in a Module Category
- Cycle-Finite Module Categories