3 citations · 6 across the 9 of their papers we have counts for
9 papers
Second symmetric powers of chain complexes
Anders J. Frankild, Sean Sather-Wagstaff, Amelia Taylor
We investigate Buchbaum and Eisenbud's construction of the second symmetric power S^2_R(X) of a chain complex X of modules over a commutative ring R. We state and prove a number of…
Homological properties of cochain Differential Graded algebras
Anders J. Frankild, Peter Jorgensen
Consider a local chain Differential Graded algebra, such as the singular chain complex of a pathwise connected topological group. In two previous papers, a number of homological re…
Relations between semidualizing complexes
Anders J. Frankild, Sean Sather-Wagstaff, Amelia Taylor
We study the following question: Given two semidualizing complexes B and C over a commutative noetherian ring R, does the vanishing of Ext^n_R(B,C) for n>>0 imply that B is C-refle…
Ascent of module structures, vanishing of Ext, and extended modules
Anders J. Frankild, Sean Sather-Wagstaff, Roger Wiegand
Let $(R,\m)$ and $(S,\n)$ be commutative Noetherian local rings, and let be a flat local homomorphism such that $\m S = \n$ and the induced map on residue fields $R/\m \…
Dualities and intersection multiplicities
Anders J. Frankild, Esben Bistrup Halvorsen
Let R be a commutative, noetherian, local ring. Topological Q-vector spaces modelled on full subcategories of the derived category of R are constructed in order to study intersecti…
Detecting completeness from ext-vanishing
Anders J. Frankild, Sean Sather-Wagstaff
Motivated by work of C. U. Jensen, R.-O. Buchweitz, and H. Flenner, we prove the following result. Let be a commutative Noetherian ring and an ideal in the Jacobson radical…