8 citations · 41 across the 24 of their papers we have counts for
4 papers · 1 filter
Tate-Hochschild homology and cohomology of Frobenius algebras
Petter Andreas Bergh, David A. Jorgensen
We study Tate-Hochschild homology and cohomology for a two-sided Noetherian Gorenstein algebra. These (co)homology groups are defined for all degrees, non-negative as well as negat…
Are complete intersections complete intersections?
Raymond C. Heitmann, David A. Jorgensen
A commutative local ring is generally defined to be a complete intersection if its completion is isomorphic to the quotient of a regular local ring by an ideal generated by a regul…
Vanishing of Tate homology and depth formulas over local rings
Lars Winther Christensen, David A. Jorgensen
Auslander's depth formula for pairs of Tor-independent modules over a regular local ring, depth(M \otimes N) = depth(M) + depth(N) - depth(R), has been generalized in several direc…
Tate (co)homology via pinched complexes
Lars Winther Christensen, David A. Jorgensen
For complexes of modules we study two new constructions, which we call the pinched tensor product and the pinched Hom. They provide new methods for computing Tate homology and Tate…