Johan Oinert

collaborators

5 papers

math.RA2026

Bimodules in differential polynomial rings

Johan Ãinert

We study the $R$ -sub-bimodule structure of differential polynomial rings $R [x; I^´]$ by introducing the notion of strong simplicity, requiring each nonzero $R$ -sub-bimodule of $R[x;Î…

math.RA2026

Hilbert's basis theorem for Poisson Ore extensions

Per BÃ¤ck, Per Bäck, Patrik Lundström +4

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

Central idempotents in group-graded rings

Johan Ãinert

Let $G$ be a group and let $R$ be a $G$ -graded ring. We show that every nonzero central idempotent in $R$ has finite support group in two broad settings: when $G$ is abelian, and w…

math.RA2026

The rank condition and strong rank conditions for Ore extensions

Karl Lorensen, Johan Ãinert

Let $R$ be a ring, $I ¨ : R \to R$ a ring endomorphism, and $I^´ : R \to R$ a $I ¨ $ -derivation. We establish that the Ore extension $R [x; I ¨ , I^´]$ satisfies the rank condition if and only if…

math.RA2025

Ore Extensions of Abelian Groups with Operators

Per BÃ¤ck, Patrik LundstrÃ¶m, Johan Ãinert +1

Given a set $A$ and an abelian group $B$ with operators in $A$ , in the sense of Krull and Noether, we introduce the Ore group extension $B [x; I ¨ _{B}, I^´_{B}]$ as the additive group $B[…