English

The subspace structure of finite dimensional Beidleman near-vector spaces

Commutative Algebra 2018-10-18 v1

Abstract

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 dimensional Beidleman near-vector spaces. We provide an algorithm to compute the smallest R-subgroup containing a given set of vectors. Finally, we classify the subspaces of finite dimensional Beidleman near-vector spaces.

Keywords

Cite

@article{arxiv.1810.07221,
  title  = {The subspace structure of finite dimensional Beidleman near-vector spaces},
  author = {P Djagba and K-T Howell},
  journal= {arXiv preprint arXiv:1810.07221},
  year   = {2018}
}