2 citations · 4 across the 3 of their papers we have counts for
4 papers
The Hilbert Basis Theorem for Non-Associative Skew Power Series Rings and Non-Associative Skew Laurent Series Rings over a Non-Associative Coefficient Ring
Darwin P. Mangubat, Jocelyn P. Vilela, Johan Richter
In this paper, we give conditions on a unital non-associative ring and additive map so that the non-associative skew power series ring, denoted by $R[[X…
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…
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]…
Non-associative versions of Hilbert's basis theorem
Per Bäck, 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,…