40 citations
- Blekinge Institute of TechnologySE3 papers
- Lund UniversitySE3 papers
- Mälardalen UniversitySE3 papers
- University of Cape TownZA2 papers
- University of CopenhagenDK2 papers
- University of SkövdeSE2 papers
- AGH University of KrakowPL1 paper
- KTH Royal Institute of TechnologySE1 paper
- Max Planck Institute for Software SystemsDE1 paper
- Nagoya UniversityJP1 paper
- Nobel FoundationSE1 paper
- Queen's University BelfastGB1 paper
11 papers · 1 filter
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…
Ore Extensions of Abelian Groups with Operators
Per Bäck, Patrik Lundström, Johan Öinert +1
Given a set and an abelian group with operators in , in the sense of Krull and Noether, we introduce the Ore group extension as the additive group $B[x]…
Simplicity of algebras via epsilon-strong systems
Patrik Nystedt
We obtain sufficient criteria for simplicity of systems, that is, rings that are equipped with a family of additive subgroups , for , where is a semigroup, sa…
Simplicity of Ore monoid rings
Patrik Nystedt, Johan Öinert, Johan Richter
Given a non-associative unital ring , a monoid and a set of additive maps , we introduce the Ore monoid ring , and, in a special case, the diff…
Von-Neumann finiteness and reversibility in some classes of non-associative algebras
Erik Darpö, Patrik Nystedt
We investigate criteria for von-Neumann finiteness and reversibility in some classes of non-associative algebras. We show that all finite-dimensional alternative algebras, as well…
Outer partial actions and partial skew group rings
Patrik Nystedt, Johan Öinert
We extend the classicial notion of an outer action of a group on a unital ring to the case when is a partial action on ideals, all of which have local units. We sho…