3 papers
math.RA2026
Involutions in the Cayley-Dickson construction
Masood Aryapoor, Per Bäck, Sophie Pautrel
We determine all involutions in the Cayley-Dickson construction that extend the involution of the original -algebra. We also find all algebra isomorphisms between the resulting…
math.RA2026
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…
math.RA2025
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…