On vector spaces with distinguished subspaces and redundant base. (Q1414155)
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scientific article; zbMATH DE number 2005995
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On vector spaces with distinguished subspaces and redundant base. |
scientific article; zbMATH DE number 2005995 |
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On vector spaces with distinguished subspaces and redundant base. (English)
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19 November 2003
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The authors study a case of the following problem: Given a collection of subspaces of a vector space, when do the dimensions of all their intersections specify the family of subspaces up to isomorphism? It is proved that if one takes a family \(F\) of vectors whose only non-trivial linear relation is that their sum is zero, and let all subspaces be the spans of subsets of \(F\), then this is true.
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finite representation
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incidence matrix
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partitions of a finite set
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vector space
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distinguished subspaces
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redundant base
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