31 citations · 73 across the 27 of their papers we have counts for
6 papers · 1 filter
Computations of atom spectra
Rune Harder Bak, Henrik Holm
This is a contribution to the theory of atoms in abelian categories recently developed in a series of papers by Kanda. We present a method that enables one to explicitly compute th…
The direct limit closure of perfect complexes
Lars Winther Christensen, Henrik Holm
Every projective module is flat. Conversely, every flat module is a direct limit of finitely generated free modules; this was proved independently by Govorov and Lazard in the 1960…
Modules with cosupport and injective functors
Henrik Holm
Several authors have studied the filtered colimit closure lim(B) of a class B of finitely presented modules. Lenzing called lim(B) the category of modules with support in B, and pr…
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…
Covers, preenvelopes, and purity
Henrik Holm, Peter Jorgensen
We show that if a class of modules is closed under pure quotients, then it is precovering if and only if it is covering, and this happens if and only if it is closed under direct s…
Relative Ext groups, resolutions, and Schanuel classes
Henrik Holm
Given a precovering (also called contravariantly finite) class F there are three natural approaches to a homological dimension with respect to F: One based on Ext functors relative…