Higher torsion-free Auslander-Reiten sequences and the dominant dimension of algebras

DOI10.1016/J.JALGEBRA.2024.11.004MaRDI QIDQ6667411

Tiago Cruz, René Marczinzik

Publication date: 20 January 2025

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

gradereflexive modulesdominant dimensionAuslander-Reiten theory

Mathematics Subject Classification ID

Representations of associative Artinian rings (16G10) Homological dimension in associative algebras (16E10)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Cluster tilting for higher Auslander algebras.
• Endomorphism algebras of generators over symmetric algebras.
• Quasi-Frobenius rings and generalizations. QF-3 and QF-1 rings. Notes by Claus Michael Ringel
• Higher-dimensional Auslander-Reiten theory on maximal orthogonal subcategories.
• Upper bounds for the dominant dimension of Nakayama and related algebras
• Auslander-Gorenstein algebras from Serre-formal algebras via replication
• On representation-finite gendo-symmetric biserial algebras
• Syzygy modules for Noetherian rings
• Grade, dominant dimension and Gorenstein algebras
• Reflexive modules on quotient surface singularities.
• Modules of dominant and codominant dimension
• On rings with finite self-injective dimension
• Simple reflexive modules over finite-dimensional algebras
• The Classification of Algebras by Dominant Dimension
• Stable module theory
• Reflexive modules over rational double points
• Double centralizer properties, dominant dimension, and tilting modules

This page was built for publication: Higher torsion-free Auslander-Reiten sequences and the dominant dimension of algebras

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6667411)