17 citations · 41 across the 8 of their papers we have counts for
8 papers
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 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]…
Ideals in hom-associative Weyl algebras
Per Bäck, Johan Richter
We introduce hom-associative versions of the higher order Weyl algebras, generalizing the construction of the first hom-associative Weyl algebras. We then show that the higher orde…
The hom-associative Weyl algebras in prime characteristic
Per Bäck, Johan Richter
We introduce the first hom-associative Weyl algebras over a field of prime characteristic as a generalization of the first associative Weyl algebra in prime characteristic. First,…
Multi-parameter formal deformations of ternary hom-Nambu-Lie algebras
Per Bäck
In this note, we introduce a notion of multi-parameter formal deformations of ternary hom-Nambu-Lie algebras. Within this framework, we construct formal deformations of the three-d…
On the hom-associative Weyl algebras
Per Bäck, Johan Richter
The first (associative) Weyl algebra is formally rigid in the classical sense. In this paper, we show that it can however be formally deformed in a nontrivial way when considered a…