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5 papers · 1 filter
Rings without a Gorenstein analogue of the Govorov-Lazard Theorem
Henrik Holm, Peter Jorgensen
It was proved by Beligiannis and Krause that over certain Artin algebras, there are Gorenstein flat modules which are not direct limits of finitely generated Gorenstein projective…
Diagonalizing the Frobenius
Esben Bistrup Halvorsen
Over a Noetherian, local ring R of prime characteristic p, the Frobenius functor F induces a diagonalizable map on certain quotients of rational Grothendieck groups. This leads to…
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…
Reflexivity and ring homomorphisms of finite flat dimension
Anders Frankild, Sean Sather-Wagstaff
In this paper we present a systematic study of the reflexivity properties of homologically finite complexes with respect to semidualizing complexes in the setting of nonlocal rings…
The set of semidualizing complexes is a nontrivial metric space
Anders Frankild, Sean Sather-Wagstaff
We show that the set $\s(R)$ of shift-isomorphism classes of semidualizing complexes over a local ring admits a nontrivial metric. We investigate the interplay between the metr…