Toward an intuitive understanding of the structure of near-vector spaces
Rings and Algebras
2019-12-17 v1
Abstract
In this paper, we analyze the definition Andr\'e proposed for near-vector spaces to make it more transparent. We also study the class of near-vector spaces over division rings and give a characterization of regularity that gives a new insight into the decomposition of near-vector spaces into regular subspaces. We explicitly describe span and deduce a new characterization of subspaces.
Keywords
Cite
@article{arxiv.1912.06674,
title = {Toward an intuitive understanding of the structure of near-vector spaces},
author = {Karin-Therese Howell and Sophie Marques},
journal= {arXiv preprint arXiv:1912.06674},
year = {2019}
}
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