The subspace structure of finite dimensional Beidleman near-vector spaces

2018/10/16 by Prudence Djagba, Djagba, P, Howell, K-T
Mathematics · #Advanced Banach Space Theory #Advanced Topics in Algebra #Commutative Algebra (math.AC) #FOS: Mathematics #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.1810.07221

openalex publication_date 2018/10/16 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

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.

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