Browsing by Author "Howell, Karin-Therese"
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- ItemNear-vector spaces constructed from near domains(Miskolci Egyetemi Kiado, 2018) Howell, Karin-Therese; Sanon, Sogo PierreIn this paper we prove some new results on near-vector spaces and near domains and give a first application of the nearring of quotients with respect to a multiplicative set, namely we construct a new class of near-vector spaces from near domains.
- ItemNear-vector spaces determined by finite fields and their fibrations(Scientific and Technological Research Council of Turkey, 2019) Howell, Karin-ThereseIn this paper we study near-vector spaces constructed from copies of finite fields. We show that for these near-vector spaces regularity is equivalent to the quasikernel being the entire space. As a second focus, we study the fibrations of near-vector spaces. We define the pseudo-projective space of a near-vector space and prove that a special class of near-vector spaces, namely those constructed using finite fields, always has a fibration associated with them. We also give a formula for calculating the cardinality of the pseudo-projective space for this class of near-vector spaces.
- ItemOn spanning sets and generators of near-vector spaces(Scientific and Technological Research Council of Turkey, 2018) Howell, Karin-Therese; Sanon, Sogo PierreIn this paper we study the quasi-kernel of certain constructions of near-vector spaces and the span of a vector. We characterize those vectors whose span is one-dimensional and those that generate the whole space.