3 papers
math.RT2026
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…
math.RT2024
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…
math.RT2021
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…