4 papers · 1 filter
Acyclic and totally acyclic objects in the -shaped derived category
Henrik Holm, Peter Jorgensen
This paper concerns homological algebra based on -shaped diagrams, where belongs to a certain class of small categories. We will show that the Gorenstein property of noether…
Tilting in -shaped derived categories
Sira Gratz, Henrik Holm, Peter Jorgensen +1
The main result of this paper is that there is sometimes a triangulated equivalence between , the -shaped derived category of an algebra , and , the classic…
Minimal semiinjective resolutions in the -shaped derived category
Henrik Holm, Peter Jorgensen
Injective resolutions of modules are key objects of homological algebra, which are used for the computation of derived functors. Semiinjective resolutions of chain complexes are mo…
The -shaped derived category of a ring
Henrik Holm, Peter Jorgensen
For any ring and a small, preadditive, Hom-finite, and locally bounded category that has a Serre functor and satisfies the (strong) retraction property, we show that the ca…