31 citations · 73 across the 27 of their papers we have counts for
Showing 2004 · math.ACShow all
3 papers · 2 filters
math.AC2004
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…
math.AC2004★ 3 cited
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…
math.AC2004★ 3 cited
On Gorenstein Projective, Injective and Flat Dimensions - A Functorial Description with Applications
L. Winther Christensen, A. Frankild, H. Holm
Gorenstein homological dimensions are refinements of the classical homological dimensions, and finiteness singles out modules with amenable properties reflecting those of modules o…