12 citations · 12 across the 9 of their papers we have counts for
10 papers
Splitting torsion classes in higher homological algebra
Erlend D. Børve, Peter Jorgensen, Mads Hustad Sandøy
Let be an integer, a suitable -abelian category. There is a notion of higher torsion classes in , also known as -torsion classes. W…
Hochschild (co)homology and cyclic homology via a graded Euler characteristic with applications to higher preprojective algebras
Jon Wallem Anundsen, Mads Hustad Sandøy
Computing the structure of the Hochschild (co)homology and the cyclic homology of an algebra can be hard work, but Etingof and Eu showed that it can be done surprisingly easily for…
Higher Koszul algebras and the -condition
Johanne Haugland, Mads Hustad Sandøy
Determining when a finite dimensional algebra satisfies the finiteness property known as the -condition is of fundamental importance in the celebrated and influentia…
Skew Group Algebras, (Fg) and Self-injective Rad-Cube-Zero Algebras
Mads Hustad Sandøy
We classify self-injective radical cube zero algebras with respect to whether they satisfy certain finite generation conditions sufficient to have a fruitful theory of support vari…
On compatibility of Koszul- and higher preprojective gradings
Darius Dramburg, Mads Hustad Sandøy
We investigate compatibility of gradings for an almost Koszul or Koszul algebra that is also the higher preprojective algebra of an -hereditary algebra . For…
Higher homological algebra for one-point extensions of bipartite hereditary algebras and spectral graph theory
Karin M. Jacobsen, Mads Hustad Sandøy, Laertis Vaso
In this article we study higher homological properties of -levelled algebras and connect them to properties of the underlying graphs. Notably, to each -representation-finite…
The category of extensions and idempotent completion
Raphael Bennett-Tennenhaus, Johanne Haugland, Mads Hustad Sandøy +1
Building on previous work, we study the splitting of idempotents in the category of extensions associated to a pair $(\mathcal{C},\math…
The category of extensions and a characterisation of -exangulated functors
Raphael Bennett-Tennenhaus, Johanne Haugland, Mads Hustad Sandøy +1
Additive categories play a fundamental role in mathematics and related disciplines. Given an additive category equipped with a biadditive functor, one can construct its category of…
Classification results for -hereditary monomial algebras
Mads Hustad Sandøy, Louis-Philippe Thibault
We classify -hereditary monomial algebras in three natural contexts: First, we give a classification of the -hereditary truncated path algebras. We show that they are exactly…
Higher Koszul duality and connections with -hereditary algebras
Johanne Haugland, Mads Hustad Sandøy
We establish a connection between two areas of independent interest in representation theory, namely Koszul duality and higher homological algebra. This is done through a generaliz…