Homological dimensions of local (co)homology over commutative DG-rings

zbMath1444.13015arXiv1702.01107MaRDI QIDQ4633522

Liran Shaul

Publication date: 3 May 2019

Full work available at URL: https://arxiv.org/abs/1702.01107

zbMATH Keywords

local cohomologyhomological dimensionderived completioncommutative DG-ring

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Local cohomology and commutative rings (13D45) Differential graded algebras and applications (associative algebraic aspects) (16E45) Completion of commutative rings (13B35)

Related Items (6)

Sequence-regular commutative DG-rings ⋮ Homological invariants over non-positive DG-rings ⋮ Injective DG-modules over non-positive DG-rings ⋮ Homological identities and dualizing complexes of commutative differential graded algebras ⋮ Resolutions and homological dimensions of DG-modules ⋮ Completion and torsion over commutative DG rings

Cites Work

• Power series rings and projectivity
• The squaring operation for commutative DG rings
• Homological dimensions of unbounded complexes
• Derived functors of \(I\)-adic completion and local homology
• Flatness and completion revisited
• On the homology of completion and torsion
• Completion and torsion over commutative DG rings
• The twisted inverse image pseudofunctor over commutative DG rings and perfect base change
• Injective modules and torsion functors*
• DUALIZING DIFFERENTIAL GRADED MODULES AND GORENSTEIN DIFFERENTIAL GRADED ALGEBRAS
• Complete flat modules

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