4 papers
Hilbert's basis theorem for Poisson Ore extensions
Per Bäck, 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…
The higher-order hom-associative Weyl algebras
Per Bäck
We show that the higher-order Weyl algebras over a field of characteristic zero, which are formally rigid as associative algebras, can be formally deformed in a nontrivial way as h…
Hilbert's Basis Theorem for generalized nonassociative Ore extensions
Per Bäck, Masood Aryapoor
We introduce a broader class of nonassociative Ore extensions that unifies and generalizes several earlier constructions. We prove generalizations of Hilbert's Basis Theorem for th…
Ore Extensions of Abelian Groups with Operators
Per Bäck, Patrik Lundström, Johan Ãinert +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[…