Gorenstein categories, singular equivalences and finite generation of cohomology rings in recollements

Chrysostomos Psaroudakis, Øystein Skartsæterhagen, Øyvind Solberg

Given an artin algebra $\Lambda$ with an idempotent element $a$ we compare the algebras $\Lambda$ and $a\Lambda a$ with respect to Gorensteinness, singularity categories and the finite generation con…