Homological identities and dualizing complexes of commutative differential graded algebras

DOI10.1007/s11856-021-2095-3zbMath1490.16020OpenAlexW3122770616MaRDI QIDQ2040181

Hiroyuki Minamoto

Publication date: 12 July 2021

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-021-2095-3

zbMATH Keywords

dualizing complexconnective commutative DG algebraGorenstein DG algebra

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Graded rings (13A02) Differential graded algebras and applications (associative algebraic aspects) (16E45)

Related Items (5)

Smooth flat maps over commutative DG-rings ⋮ Sequence-regular commutative DG-rings ⋮ Koszul complexes over Cohen-Macaulay rings ⋮ Resolutions and homological dimensions of DG-modules ⋮ Local Cohen-Macaulay DG-modules

Cites Work

• The squaring operation for commutative DG rings
• Gorenstein spaces
• Bounded complexes of flat modules
• Homological identities for differential graded algebras.
• Gorenstein differential graded algebras
• Injective DG-modules over non-positive DG-rings
• Homological dimension formulas for trivial extension algebras
• The Happel functor and homologically well-graded Iwanaga-Gorenstein algebras
• The twisted inverse image pseudofunctor over commutative DG rings and perfect base change
• Residues and duality. Lecture notes of a seminar on the work of A. Grothendieck, given at Havard 1963/64. Appendix: Cohomology with supports and the construction of the \(f^!\) functor by P. Deligne
• Two kinds of derived categories, Koszul duality, and comodule-contramodule correspondence
• Locally Gorenstein Homomorphisms
• Deriving DG categories
• Sequences for complexes
• Sequences for complexes II
• DUALIZING DIFFERENTIAL GRADED MODULES AND GORENSTEIN DIFFERENTIAL GRADED ALGEBRAS
• Homological dimensions of local (co)homology over commutative DG-rings
• Amplitude inequalities for Differential Graded modules
• The Cohen-Macaulay property in derived commutative algebra
• On \(t\)-structures and torsion theories induced by compact objects
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Homological identities and dualizing complexes of commutative differential graded algebras