Minimal Injective Resolutions Under Flat Base Change

DOI10.2307/2041236zbMath0381.13006OpenAlexW4250902192MaRDI QIDQ4161789

Hans-Bjørn Foxby, Anders Thorup

Publication date: 1977

Full work available at URL: https://doi.org/10.2307/2041236

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Projective and free modules and ideals in commutative rings (13C10) (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Commutative Noetherian rings and modules (13E05)

Related Items (12)

Contracting endomorphisms and dualizing complexes ⋮ Cohen-Macaulay properties of ring homomorphisms ⋮ Type of blowing-up over a Buchsbaum ring ⋮ Gorenstein local homomorphisms ⋮ Semi-dualizing complexes and their Auslander categories ⋮ Balanced big Cohen-Macaulay modules and flat extensions of rings ⋮ Extremal growth of Betti numbers and trivial vanishing of (co)homology ⋮ Cohen-Macaulay, Gorenstein, complete intersection and regular defect for the tensor product of algebras ⋮ Some applications of the Frobenius in characteristic 0 ⋮ Bass Series of Local Ring Homomorphisms of Finite Flat Dimension ⋮ A Somewhat Gentle Introduction to Differential Graded Commutative Algebra ⋮ The $a$-invariant and Gorensteinness of graded rings associated to filtrations of ideals in regular local rings

Cites Work

• Unnamed Item
• Gorenstein modules
• 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
• The Euler characteristic of a finitely generated module of finite injective dimension
• On the ubiquity of Gorenstein rings
• Gorenstein Modules and Related Modules.
• Injective Modules Under Flat Base Change
• Fibres formelles d'un anneau local noethérien
• On the $\mu^i$ in a Minimal Injective Resolution.

This page was built for publication: Minimal Injective Resolutions Under Flat Base Change