3 citations · 4 across the 7 of their papers we have counts for
7 papers
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…
The index in -exact categories
Francesca Fedele, Peter Jørgensen, Amit Shah
Starting from its original definition in module categories with respect to projective modules, the index has played an important role in various aspects of homological algebra, cat…
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 index with respect to a contravariantly finite subcategory
Francesca Fedele, Peter Jorgensen, Amit Shah
Cluster algebras are categorified by cluster categories, and -vectors are categorified by the classic index with respect to cluster tilting subcategories. However, the recently…
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…
On higher torsion classes
Javad Asadollahi, Peter Jorgensen, Sibylle Schroll +1
Building on the embedding of an -abelian category into an abelian category as an -cluster-tilting subcategory of , in this paper we r…