On the dimension of the algebraic sum of subspaces
We provide a recursive formula for the dimension of the algebraic sum of finitely many subspaces in a finite-dimensional vector space over an arbitrary field.
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| Format: | Article |
| Language: | English |
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De Gruyter
2025-04-01
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| Series: | Open Mathematics |
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| Online Access: | https://doi.org/10.1515/math-2024-0128 |
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| _version_ | 1850183886712078336 |
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| author | Makrides Gregoris Szemberg Tomasz |
| author_facet | Makrides Gregoris Szemberg Tomasz |
| author_sort | Makrides Gregoris |
| collection | DOAJ |
| description | We provide a recursive formula for the dimension of the algebraic sum of finitely many subspaces in a finite-dimensional vector space over an arbitrary field. |
| format | Article |
| id | doaj-art-006088c07e7a4dd2a56daa8d372cd530 |
| institution | OA Journals |
| issn | 2391-5455 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Open Mathematics |
| spelling | doaj-art-006088c07e7a4dd2a56daa8d372cd5302025-08-20T02:17:13ZengDe GruyterOpen Mathematics2391-54552025-04-0123147148510.1515/math-2024-0128On the dimension of the algebraic sum of subspacesMakrides Gregoris0Szemberg Tomasz1Department of Mathematics, University of the National Education Commission Krakow, Podchorążych 2, PL-30-084 Kraków, PolandDepartment of Mathematics, University of the National Education Commission Krakow, Podchorążych 2, PL-30-084 Kraków, PolandWe provide a recursive formula for the dimension of the algebraic sum of finitely many subspaces in a finite-dimensional vector space over an arbitrary field.https://doi.org/10.1515/math-2024-0128linear subspaceslatticesalgebraic sumdimension15a03 |
| spellingShingle | Makrides Gregoris Szemberg Tomasz On the dimension of the algebraic sum of subspaces Open Mathematics linear subspaces lattices algebraic sum dimension 15a03 |
| title | On the dimension of the algebraic sum of subspaces |
| title_full | On the dimension of the algebraic sum of subspaces |
| title_fullStr | On the dimension of the algebraic sum of subspaces |
| title_full_unstemmed | On the dimension of the algebraic sum of subspaces |
| title_short | On the dimension of the algebraic sum of subspaces |
| title_sort | on the dimension of the algebraic sum of subspaces |
| topic | linear subspaces lattices algebraic sum dimension 15a03 |
| url | https://doi.org/10.1515/math-2024-0128 |
| work_keys_str_mv | AT makridesgregoris onthedimensionofthealgebraicsumofsubspaces AT szembergtomasz onthedimensionofthealgebraicsumofsubspaces |