Distributive lattices and Auslander regular algebras
From MaRDI portal
Publication:2078872
DOI10.1016/j.aim.2022.108233zbMath1495.16014arXiv2009.07170OpenAlexW4211105934MaRDI QIDQ2078872
Publication date: 4 March 2022
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.07170
distributive latticesglobal dimensionincidence algebrasorder dimensionAuslander regular algebrasrowmotion bijection
Representations of associative Artinian rings (16G10) Homological dimension in associative algebras (16E10)
Related Items
Intersecting principal Bruhat ideals and grades of simple modules, Representation theory of quivers and finite-dimensional algebras. Abstracts from the workshop held February 12--18, 2023, The commuting algebra
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On quiver Grassmannians and orbit closures for representation-finite algebras
- Frobenius algebras. I: Basic representation theory.
- Quasi-Frobenius rings and generalizations. QF-3 and QF-1 rings. Notes by Claus Michael Ringel
- \(\tau\)-categories. III: Auslander orders and Auslander-Reiten quivers.
- Dualizing complex of the incidence algebra of a finite regular cell complex
- Auslander correspondence.
- Modules over regular algebras of dimension 3
- Trivial extensions of Abelian categories. Homological algebra of trivial extensions of Abelian categories with applications to ring theory
- Rings with Auslander dualizing complexes
- \(k\)-Gorenstein algebras and syzygy modules
- Symmetry and duality on \(n\)-Gorenstein rings.
- Auslander-Gorenstein algebras and precluster tilting
- Auslander-Gorenstein algebras from Serre-formal algebras via replication
- Tilting modules over Auslander-Gorenstein algebras
- On Auslander's \(n\)-Gorenstein rings
- Syzygy modules for Noetherian rings
- Minimal injective resolutions of Cohen-Macaulay isolated singularities
- Dominant dimension and tilting modules
- Auslander-type conditions and cotorsion pairs.
- On the ubiquity of Gorenstein rings
- A decomposition theorem for partially ordered sets
- Towards a theory of Bass numbers with application to Gorenstein algebras
- Gorenstein algebras and algebras with dominant dimension at least 2
- Torsionless modules over 1-gorensteinl-hereditary artinian rings
- On the cohomology of incidence algebras of partially ordered sets
- Incidence coalgebras of intervally finite posets, their integral quadratic forms and comodule categories
- Auslander-gorenstein rings
- Some properties of non-commutative regular graded rings
- Extension closure ofk-torsionfree modules
- The relationship between homological properties and representation theoretic realization of artin algebras
- Injective resolutions of Noetherian rings and cogenerators
- SPECIAL TILTING MODULES FOR ALGEBRAS WITH POSITIVE DOMINANT DIMENSION
- Rowmotion in slow motion
- Dynamical Algebraic Combinatorics: Promotion, Rowmotion, and Resonance
- Stable module theory
- [https://portal.mardi4nfdi.de/wiki/Publication:5731810 On the foundations of combinatorial theory I. Theory of M�bius Functions]
