Johan Öinert

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4 papers · 1 filter

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.RA2024

Rank conditions and amenability for rings associated to graphs

Karl Lorensen, Johan Öinert

We study path rings, Cohn path rings, and Leavitt path rings associated to directed graphs, with coefficients in an arbitrary ring $R$ . For each of these types of rings, we stipula…

math.RA2023

Very good gradings on matrix rings are epsilon-strong

Patrik Lundström, Johan Öinert, Laura Orozco +1

We investigate properties of group gradings on matrix rings $M_{n} (R)$ , where $R$ is an associative unital ring and $n$ is a positive integer. More precisely, we introduce very good…