Distributive decomposition of near-vector spaces
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866929435152744448 |
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| author | Boonzaaier, Leandro Marques, Sophie Moore, Daniella |
| author_facet | Boonzaaier, Leandro Marques, Sophie Moore, Daniella |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_17134 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Distributive decomposition of near-vector spaces Boonzaaier, Leandro Marques, Sophie Moore, Daniella Rings and Algebras 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. |
| title | Distributive decomposition of near-vector spaces |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2407.17134 |