Homological Invariants for Connected DG Algebras

DOI10.1080/00927870802110870zbMath1163.16007OpenAlexW2016267838MaRDI QIDQ3525202

Xuefeng Mao, Quan Shui Wu

Publication date: 11 September 2008

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

Full work available at URL: https://doi.org/10.1080/00927870802110870

zbMATH Keywords

differential graded algebrasdifferential graded modulesAuslander-Buchsbaum formulagap theoremBass formulasemifree resolutions

Mathematics Subject Classification ID

Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Differential graded algebras and applications (associative algebraic aspects) (16E45) Homological dimension in associative algebras (16E10)

Related Items (17)

Connected cochain DG algebras of Calabi-Yau dimension 0 ⋮ Derived Picard groups of homologically smooth Koszul DG algebras ⋮ Duality for cochain DG algebras. ⋮ Some dimensions of DG polynomial algebras ⋮ Local cohomology for Gorenstein homologically smooth DG algebras ⋮ DG polynomial algebras and their homological properties ⋮ A sufficient condition for a connected DG algebra to be Calabi-Yau ⋮ DG algebra structures on AS-regular algebras of dimension 2 ⋮ Calabi–Yau properties of nontrivial Noetherian DG down-up algebras ⋮ Koszul differential graded algebras and BGG correspondence. ⋮ Homological properties of cochain differential graded algebras. ⋮ Koszul differential graded algebras and BGG correspondence. II. ⋮ Cone Length for DG Modules and Global Dimension of DG Algebras ⋮ Isomorphism problem and homological properties of DG-free algebras ⋮ DG algebra structures on the quantum affine \(n\)-space \(\mathcal{O}_{- 1}( k^n)\) ⋮ Compact DG modules and Gorenstein DG algebras. ⋮ Koszul differential graded modules.

Cites Work

• Unnamed Item
• Gorenstein spaces
• Homological identities for differential graded algebras.
• Some homological invariants of local PI algebras
• Gorenstein space with nonzero evaluation map
• Homological identities for noncommutative rings

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