Vector spaces as unions of proper subspaces

Details Vector spaces as unions of proper subspaces Vector spaces as unions of proper subspaces

2008-03-19

arxiv.org/abs/0803.2746v4

Linear Algebra and its Applications 431 (2009), no. 9, 1681-1686

Mathematics

Commutative Algebra

8 pages, LaTex; to appear in "Linear Algebra and its Applications"

Scientific paper

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.

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