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4 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…
The rank condition and strong rank conditions for Ore extensions
Karl Lorensen, Johan Öinert
Let be a ring, a ring endomorphism, and a -derivation. We establish that the Ore extension satisfies the rank condition if and only if d…
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]…
Patterns of ideals of numerical semigroups
Klara Stokes
This article introduces patterns of ideals of numerical semigroups, thereby unifying previous definitions of patterns of numerical semigroups. Several results of general interest a…