Vector spaces as unions of proper subspaces

被引：18

作者：

Khare, Apoorva ^{[1
]}

机构：

[1] Univ Calif Riverside, Dept Math, Riverside, CA 92521 USA

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2009年 / 431卷 / 09期

关键词：

Vector space; Partition; Finite codimension; FROBENIUS NUMBER; PARTITIONS;

D O I：

10.1016/j.laa.2009.06.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：1681 / 1686

页数：6

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