Patrik Lundstrom

activity

20242026

collaborators

5 papers

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

Separable functors and firm modules

Patrik LundstrÃ¶m

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…

math.RA2026

Separability for relative extensions of object unital strongly groupoid graded rings

Zaqueu Cristiano, Patrik LundstrÃ¶m

We prove that if $R$ is a ring that is object unital and strongly graded by a groupoid $I^$ , and if $I^$ is a wide subgroupoid of $I^$ , then $R / R_{I^} $ is separable if and only if, f…

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[…

math.RA2024

Hom-associative magmas with applications to Hom-associative magma algebras

Patrik LundstrÃ¶m

Let $X$ be a magma, that is a set equipped with a binary operation, and consider a function $I^\pm : X \to X$ . We that $X$ is Hom-associative if for all $x, y, z \in X$ , the equality $Î±…