Cone Length for DG Modules and Global Dimension of DG Algebras

DOI10.1080/00927871003591876zbMath1232.16010OpenAlexW2060590220MaRDI QIDQ3090085

Xuefeng Mao, Quan Shui Wu

Publication date: 26 August 2011

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

Full work available at URL: https://doi.org/10.1080/00927871003591876

zbMATH Keywords

global dimensioncone lengthscompact DG modulesAdams connected differential graded algebrasDG free classesfree classes of differential modulessemifree resolutions

Mathematics Subject Classification ID

Differential graded algebras and applications (associative algebraic aspects) (16E45) Homological dimension in associative algebras (16E10)

Related Items (9)

Ghost length, cone length and complete level of DG modules. ⋮ Derived Picard groups of homologically smooth Koszul 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 ⋮ Calabi–Yau properties of nontrivial Noetherian DG down-up algebras ⋮ Isomorphism problem and homological properties of DG-free algebras ⋮ DG algebra structures on the quantum affine \(n\)-space \(\mathcal{O}_{- 1}( k^n)\)

Cites Work

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• Rigid complexes via DG algebras
• Homological Invariants for Connected DG Algebras
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• On the theory and applications of differential torsion products
• Amplitude inequalities for Differential Graded modules
• AUSLANDER–REITEN TRIANGLES AND A THEOREM OF ZIMMERMANN

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