5 papers
Primitive hyperideals and hyperstructure spaces of hyperrings
Bijan Davvaz, Amartya Goswami, Karin-Therese Howell
We introduce primitive hyperideals of a hyperring R and show relations with R itself, and with maximal and prime hyperideals of R. We endow a Jacobson topology on the set of primit…
Toward an intuitive understanding of the structure of near-vector spaces
Karin-Therese Howell, Sophie Marques
In this paper, we analyze the definition André proposed for near-vector spaces to make it more transparent. We also study the class of near-vector spaces over division rings and gi…
The subspace structure of finite dimensional Beidleman near-vector spaces
P Djagba, K-T Howell
The subspace structure of Beidleman near-vector spaces is investigated. We characterise finite dimensional Beidleman near-vector spaces and we classify the R-subgroups of finite di…
The model theory of Commutative Near Vector Spaces
Karin-Therese Howell, Charlotte Kestner
In this paper we study near vector spaces over a commutative from a model theoretic point of view. In this context we show regular near vector spaces are in fact vector spaces.…
The Multiplicative Automorphisms of a Finite Nearfield, with an Application
Tim Boykett, Karin-Therese Howell
In this paper we look at the automorphisms of the multiplicative group of finite nearfields. We find partial results for the actual automorphism groups. We find counting techniques…