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arXiv · 2407.17134

Distributive decomposition of near-vector spaces

Leandro Boonzaaier·Sophie Marques·Daniella Moore
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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.

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Leandro Boonzaaier, Sophie Marques, Daniella Moore. 2024-07-24. Distributive decomposition of near-vector spaces. https://arxiv.org/abs/2407.17134

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