Patrik Lundström

collaborators

3 papers

math.RA2026

Very good gradings on structural matrix rings

Patrik Lundström, Johan Öinert, Laura Orozco +1

Let $R$ be a nonzero associative unital ring, let $G$ be a group, and let $ρ$ be a preorder on ${1, \dots, n}$ . A $G$ -grading on $ρ$ induces a very good $G$ -grading on the structu…

math.RA2026

Hilbert's basis theorem for Poisson Ore extensions

Per Bäck, Patrik Lundström, Johan Öinert +1

We prove an analogue of Hilbert's basis theorem for Poisson Ore extensions and Poisson Laurent Ore extensions. We also obtain corresponding results for iterated Poisson Ore extensi…

math.RA2026

Separable functors and firm modules

Patrik Lundström

We develop a theory of separable ring extensions and separable functors for nonunital rings in the setting of firm modules. We prove nonunital analogues of classical results on fun…