Homological identities for differential graded algebras.

DOI10.1016/S0021-8693(03)00025-5zbMath1041.16005MaRDI QIDQ1398162

Peter Jørgensen, Anders J. Frankild

Publication date: 29 July 2003

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

zbMATH Keywords

differential graded algebrasAuslander-Buchsbaum formulaKoszul complexesgap theoremBass formulachain DGAs of loop spaceschain DGAs of topological monoidsDG fibres of ring homomorphismsdualizing DG modulesNo Holes theorem

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Differential graded algebras and applications (associative algebraic aspects) (16E45)

Related Items

Families of Auslander-Reiten components for simply connected differential graded algebras. ⋮ Ghost length, cone length and complete level of DG modules. ⋮ Properties of triangulated and quotient categories arising from \(n\)-Calabi-Yau triples ⋮ Homological identities for differential graded algebras. ⋮ Depth and amplitude for DG-modules ⋮ Compact corigid objects in triangulated categories and co-\(t\)-structures ⋮ Homological Invariants for Connected DG Algebras ⋮ Homological invariants over non-positive DG-rings ⋮ Homological properties of cochain differential graded algebras. ⋮ Amplitude inequalities for Differential Graded modules ⋮ Homological identities and dualizing complexes of commutative differential graded algebras ⋮ Cone Length for DG Modules and Global Dimension of DG Algebras ⋮ Compact DG modules and Gorenstein DG algebras.

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