Distributive decomposition of near-vector spaces
Rings and Algebras
2024-07-25 v1
Abstract
This paper provides two characterizations of regularity for near-vector spaces: first, by expressing them as a direct sum of vector spaces over division rings formed by distributive elements; second, by expressing their dimension in term of the dimension of these summands. These results offer new insights into the structure and properties of near-vector spaces.
Cite
@article{arxiv.2407.17134,
title = {Distributive decomposition of near-vector spaces},
author = {Leandro Boonzaaier and Sophie Marques and Daniella Moore},
journal= {arXiv preprint arXiv:2407.17134},
year = {2024}
}