Auslander-Reiten components containing modules with bounded Betti numbers
DOI10.1090/S0002-9947-09-04782-5zbMath1203.16017OpenAlexW2024305234MaRDI QIDQ5322891
Dan Zacharia, Edward Lee Green
Publication date: 23 July 2009
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9947-09-04782-5
indecomposable direct summandsprojective resolutionsAuslander-Reiten quiversBetti numbersstable tubesAuslander-Reiten sequencesself-injective Artin algebrasregular components
Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of associative Artinian rings (16G10) Syzygies, resolutions, complexes in associative algebras (16E05)
Related Items (3)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Tame algebras and integral quadratic forms
- Selfinjective algebras of polynomial growth
- Algebren, Darstellungsköcher, Überlagerungen und zurück
- Approximations with modules having linear resolutions.
- Periodic resolutions over exterior algebras.
- On the kernel of an irreducible map.
- Boundedness Versus Periodicity Over Commutative Local Rings
- Algebras and Dihedral Defect Groups
- Algebras and Semidihedral Defect Groups I
- Polynomial growth trivial extensions of simply connected algebras
- Homological Algebra on a Complete Intersection, with an Application to Group Representations
- Representation theory of artin algebras v: methods for computing aimost split sequences and irreducible morphisms
- The Kernel of an Irreducible Map
- The Auslander-Reiten quiver of a finite group
This page was built for publication: Auslander-Reiten components containing modules with bounded Betti numbers