Khare, Apoorva (2009) Vector spaces as unions of proper subspaces Linear Algebra and its Applications, 431 (9). pp. 1681-1686. ISSN 0024-3795
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Official URL: http://doi.org/10.1016/j.laa.2009.06.001
Related URL: http://dx.doi.org/10.1016/j.laa.2009.06.001
Abstract
In this note, we find a sharp bound for the minimal number (or in general, indexing set) of subspaces of a fixed (finite) codimension needed to cover any vector space V over any field. If V is a finite set, this is related to the problem of partitioning V into subspaces
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Inc. |
| Keywords: | Vector space; Partition; Finite codimension |
| ID Code: | 127288 |
| Deposited On: | 17 Oct 2022 05:14 |
| Last Modified: | 17 Oct 2022 05:14 |
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