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.
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页码：1681 / 1686
页数：6
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