Amplitude inequalities for Differential Graded modules

DOI10.1515/FORUM.2010.049zbMath1213.16006arXivmath/0601416MaRDI QIDQ4933482

Peter Jørgensen

Publication date: 13 October 2010

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0601416

zbMATH Keywords

derived categorieshomologydifferential graded modulescomplexes of modulesamplitude inequalitieslocal chain differential graded algebras

Mathematics Subject Classification ID

Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Syzygies, resolutions, complexes and commutative rings (13D02) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Differential graded algebras and applications (associative algebraic aspects) (16E45)

Related Items (12)

Connected cochain DG algebras of Calabi-Yau dimension 0 ⋮ Ghost length, cone length and complete level of DG modules. ⋮ Smooth flat maps over commutative DG-rings ⋮ Cohomological supports over derived complete intersections and local rings ⋮ Depth and amplitude for DG-modules ⋮ Sequence-regular commutative DG-rings ⋮ The Cohen-Macaulay property in derived commutative algebra ⋮ Homological identities and dualizing complexes of commutative differential graded algebras ⋮ Cone Length for DG Modules and Global Dimension of DG Algebras ⋮ Open loci results for commutative DG-rings ⋮ Resolutions and homological dimensions of DG-modules ⋮ Proper connective differential graded algebras and their geometric realizations

Cites Work

• Homological properties of cochain differential graded algebras.
• Compact DG modules and Gorenstein DG algebras.
• Bounded complexes of flat modules
• Homological identities for differential graded algebras.

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