• Classification of subspaces 

      Herrmann, Christian; Moresi, Remo; Schuppli, Reto; Wild, Marcel (Mathematisches Institut der Universitat Bayreuth, 1998)
      1.1 Statement of the problems and the lattice method Let E and E' be non-degenerate €-hermitean spaces over the same data (k, €, -) (see 1.1.1) with linear subspaces F and F', respectively. The.pairs (E, F) and (E', F') ...
    • Contributions to the theory of Beidleman near-vector spaces 

      Djagba, Prudence (Stellenbosch : Stellenbosch University, 2019-12)
      ENGLISH SUMMARY: (Please refer to the abstract on the full text for symbols that did not translate well into this abstract). The study of nearfields was started in 1905 by L.E. Dickson. This thesis is a first step toward ...
    • Contributions to the theory of near-vector spaces 

      Sanon, Sogo Pierre (Stellenbosch : Stellenbosch University, 2017-12)
      ENGLISH ABSTRACT : The purpose of this thesis is to give an exposition and expand the theory of near-vector spaces. Near-vector space theory is a new and rich field of mathematics and has been used in several applications, ...
    • Near vector spaces 

      De Bruyn, Aletta (Stellenbosch : Stellenbosch University, 1990)
      ENGLISH ABSTRACT: The preliminary material in Chapter 1 is included in order that this work be reasonably self-contained. The main aim of this thesis is to give an exposition of the theory of near vector spaces, as ...
    • Near-vector spaces constructed from near domains 

      Howell, Karin-Therese; Sanon, Sogo Pierre (Miskolci Egyetemi Kiado, 2018)
      In 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 ...
    • On spanning sets and generators of near-vector spaces 

      Howell, Karin-Therese; Sanon, Sogo Pierre (Scientific and Technological Research Council of Turkey, 2018)
      In 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.