33 citations · 75 across the 36 of their papers we have counts for
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Growth in the minimal injective resolution of a local ring
Lars Winther Christensen, Janet Striuli, Oana Veliche
Let R be a commutative noetherian local ring with residue field k and assume that it is not Gorenstein. In the minimal injective resolution of R, the injective envelope E of the re…
Beyond Totally Reflexive Modules and Back
Lars Winther Christensen, Hans-Bjørn Foxby, Henrik Holm
Starting from the notion of totally reflexive modules, we survey the theory of Gorenstein homological dimensions for modules over commutative rings. The account includes the theory…
Transfer of Gorenstein dimensions along ring homomorphisms
Lars Winther Christensen, Sean Sather-Wagstaff
A central problem in the theory of Gorenstein dimensions over commutative noetherian rings is to find resolution-free characterizations of the modules for which these invariants ar…
Algebras that satisfy Auslander's condition on vanishing of cohomology
Lars Winther Christensen, Henrik Holm
Auslander conjectured that every Artin algebra satisfies a certain condition on vanishing of cohomology of finitely generated modules. The failure of this conjecture - by a 2003 co…