Gorenstein algebras and algebras with dominant dimension at least 2

DOI10.1080/00927879308824773zbMath0797.16011OpenAlexW2101680168WikidataQ105542491 ScholiaQ105542491MaRDI QIDQ3141928

Maurice Auslander, Øyvind Solberg

Publication date: 19 October 1994

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

Full work available at URL: https://doi.org/10.1080/00927879308824773

zbMATH Keywords

endomorphism ringsdominant dimensionrelative cotilting modulesArtin-Gorenstein algebrasgenerator-cogenerator

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Representations of orders, lattices, algebras over commutative rings (16G30) Cohen-Macaulay modules in associative algebras (16G50) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Representations of associative Artinian rings (16G10) Homological dimension in associative algebras (16E10)

Related Items

Relative derived equivalences and relative homological dimensions, Auslander's formula and correspondence for exact categories, On minimal Auslander-Gorenstein algebras and standardly stratified algebras, Auslander correspondence., On \(F\)-almost split sequences., On faithfully balanced modules, F-cotilting and F-Auslander algebras, Cluster tilting for higher Auslander algebras., On algebras of finite Cohen-Macaulay type., Auslander-Gorenstein algebras and precluster tilting, Algebras with finite relative dominant dimension and almost \(n\)-precluster tilting modules, Higher Auslander-Solberg correspondence for exact categories, Gorenstein modifications and \mathds{𝑄}-Gorenstein rings, Characterizing when the category of Gorenstein projective modules is an abelian category., Relative Quotient Triangulated Categories, On F-Gorenstein dimensions, Dominant dimension and tilting modules, Going relative with Maurice—A survey, Distributive lattices and Auslander regular algebras, Frobenius categories, Gorenstein algebras and rational surface singularities, On Relative n-Auslander-Reiten Isomorphisms

Cites Work

• Almost split sequences in subcategories
• Applications of contravariantly finite subcategories
• Relative homology and representation theory 1
• Relative homology and representation theory II
• Relative homology and representation theory III