On Linear Maps and Seed Sets of Beidleman Near-Vector Spaces

2023/09/05 by Prudence Djagba, Djagba, P., Abraham Love Prins +1
Mathematics · #$R$-subgroup #Advanced Topics in Algebra #FOS: Mathematics #Near-vector spaces #Rings and Algebras (math.RA) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2310.05948

openalex publication_date 2023/09/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We studied linear mappings in Beidleman near-vector spaces and explored their matrix representations using R-bases of R-subgroups. Additionally, we developed algorithms for determining the seed number and seed sets of R-subgroups within finite-dimensional Beidleman near-vector spaces.

Related

• The subspace structure of finite dimensional Beidleman near-vector spaces
• Combinatorics of subgroups of Beidleman near-vector spaces
• Near-linear algebra
• Toward an intuitive understanding of the structure of near-vector spaces
• Near-field structures on a given scalar group