8 citations · 8 across the 2 of their papers we have counts for
9 papers
Support varieties - an axiomatic approach
Aslak Bakke Buan, Henning Krause, Nicole Snashall +1
We provide an axiomatic approach for studying support varieties of objects in a triangulated category via the action of a tensor triangulated category, where the tensor product is…
Auslander-Gorenstein algebras and precluster tilting
Osamu Iyama, Øyvind Solberg
We generalize the notions of -cluster tilting subcategories and -selfinjective algebras into -precluster tilting subcategories and -selfinjective algebras, where we s…
On the diagonal subalgebra of an Ext algebra
Edward L. Green, Nicole Snashall, Øyvind Solberg +1
Let be a Koszul algebra over a field and be a linear -module. We study a graded subalgebra of the Ext-algebra called the diagonal…
Gorenstein categories, singular equivalences and finite generation of cohomology rings in recollements
Chrysostomos Psaroudakis, Øystein Skartsæterhagen, Øyvind Solberg
Given an artin algebra with an idempotent element we compare the algebras and with respect to Gorensteinness, singularity categories and the finite generation con…
Radical cube zero weakly symmetric algebras and support varieties
Karin Erdmann, Øyvind Solberg
One of our main results is a classification all the weakly symmetric radical cube zero finite dimensional algebras over an algebraically closed field having a theory of support via…
Artin-Schelter regular algebras and categories
Roberto Martinez-Villa, Øyvind Solberg
Motivated by constructions in the representation theory of finite dimensional algebras we generalize the notion of Artin-Schelter regular algebras of dimension to algebras and…