48 citations · 140 across the 46 of their papers we have counts for
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Totally acyclic approximations
Petter A. Bergh, David A. Jorgensen, W. Frank Moore
Let be a commutative local ring. We study the subcategory of the homotopy category of -complexes consisting of the totally acyclic -complexes. In particular, in the conte…
The morphism axiom for n-angulated categories
Emilie Arentz-Hansen, Petter Andreas Bergh, Marius Thaule
The morphism axiom for n-angulated categories states that a morphism between the bases of two n-angles can be extended to a morphism of n-angles. We show that this axiom is redunda…
A generalized Dade's Lemma for local rings
Petter Andreas Bergh, David A. Jorgensen
We prove a generalized Dade's Lemma for quotients of local rings by ideals generated by regular sequences. That is, given a pair of finitely generated modules over such a ring with…