3 citations · 9 across the 11 of their papers we have counts for
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Existence of Gorenstein projective resolutions
Peter Jorgensen
Gorenstein rings are important to mathematical areas as diverse as algebraic geometry, where they encode information about singularities of spaces, and homotopy theory, through the…
Symmetry theorems for Ext vanishing
Peter Jorgensen
It was proved by Avramov and Buchweitz that if A is a commutative local complete intersection ring with finitely generated modules M and N, then the Ext groups between M and N vani…
Semi-dualizing modules and related Gorenstein homological dimensions
Henrik Holm, Peter Jorgensen
A semi-dualizing module over a commutative noetherian ring A is a finitely generated module C with RHom_A(C,C) \simeq A in the derived category D(A). We show how each such module g…
Cohen-Macaulay injective, projective, and flat dimension
Henrik Holm, Peter Jorgensen
We define three new homological dimensions - Cohen-Macaulay injective, projective, and flat dimension - which inhabit a theory similar to that of classical injective, projective, a…
Tate cohomology over fairly general rings
Peter Jorgensen
Tate cohomology was originally defined over finite groups. More recently, Avramov and Martsinkovsky showed how to extend the definition so that it now works well over Gorenstein ri…