Johan Richter

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20242026

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3 papers · 1 filter

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.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

Non-associative versions of Hilbert's basis theorem

Per BÃ¤ck, Johan Richter

We prove several new versions of Hilbert's basis theorem for non-associative Ore extensions, non-associative skew Laurent polynomial rings, non-associative skew power series rings,…