Patrik Lundstrom

activity

20082026

most citedSkew Category Algebras Associated with Partially Defined Dynamical Systems

29 citations · 57 across the 13 of their papers we have counts for

collaborators

Showing math.RAShow all

11 papers · 1 filter

math.RA2026

Separability for relative extensions of object unital strongly groupoid graded rings

Zaqueu Cristiano, Patrik Lundström

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

math.RA2024★ 2 cited

Ore Extensions of Abelian Groups with Operators

Per Bäck, Patrik Lundström, Johan Öinert +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 $B [x; σ_{B}, δ_{B}]$ as the additive group $B[x]…

math.RA2023

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

Patrik Lundström

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

math.RA2022

Simplicity of Leavitt path algebras via graded ring theory

Patrik Lundström, Johan Öinert

Suppose that $R$ is an associative unital ring and that $E = (E^{0}, E^{1}, r, s)$ is a directed graph. Utilizing results from graded ring theory we show, that the associated Leavitt path a…

math.RA2012

Simple Skew Category Algebras Associated with Minimal Partially Defined Dynamical Systems

Patrik Lundström, Johan Öinert

In this article, we continue our study of category dynamical systems, that is functors $s$ from a category $G$ to $\Top^{\op}$, and their corresponding skew category algebras. Supp…

math.RA2011

Elementary Magma Gradings on Rings

Patrik Lundström

Suppose that $G$ and $H$ are magmas and that $R$ is a strongly $G$ -graded ring. We show that there is a bijection between the set of elementary (nonzero) $H$ -gradings of $R$ and th…