3 citations · 8 across the 4 of their papers we have counts for
4 papers
Ascent Properties of Auslander Categories
Lars Winther Christensen, Henrik Holm
Let R be a homomorphic image of a Gorenstein local ring. Recent work has shown that there is a bridge between Auslander categories and modules of finite Gorenstein homological dime…
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…
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…