1 citations · 1 across the 5 of their papers we have counts for
6 papers
Noncommutative tensor triangular geometry: modules, bimodules, and unipotent Hopf algebras
Øyvind Solberg, Kent B. Vashaw, Sarah Witherspoon
We initiate a program aimed at classifying thick ideals, Balmer spectra, and submodule categories of various stable categories of bimodules and modules for finite dimensional selfi…
Monomial arrow removal and the finitistic dimension conjecture
Karin Erdmann, Odysseas Giatagantzidis, Chrysostomos Psaroudakis +1
In this paper, we introduce the monomial arrow removal operation for bound quiver algebras, and show that it is a novel reduction technique for determining the finiteness of the fi…
Homological invariants of the arrow removal operation
Karin Erdmann, Chrysostomos Psaroudakis, Øyvind Solberg
In this paper we show that Gorensteinness, singularity categories and the finite generation condition Fg for the Hochschild cohomology are invariants under the arrow removal operat…
Reduction techniques for the finitistic dimension
Edward L. Green, Chrysostomos Psaroudakis, Øyvind Solberg
In this paper we develop new reduction techniques for testing the finiteness of the finitistic dimension of a finite dimensional algebra over a field. Viewing the latter algebra as…
Relative support varieties
Petter Andreas Bergh, Øyvind Solberg
We define relative support varieties with respect to some fixed module over a finite dimensional algebra. These varieties share many of the standard properties of classical support…
Support varieties - an ideal approach
Aslak Bakke Buan, Henning Krause, Øyvind Solberg
We define support varieties in an axiomatic setting using the prime spectrum of a lattice of ideals. A key observation is the functoriality of the spectrum and that this functor ad…