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Start Over Descriptor "Linearly disjoint" Journal international journal of mathematical education in science & technology
1 results on '"Linearly disjoint"'

1. An elementary proof of a criterion for linear disjointness.

Author

Dobbs, DavidE.

Subjects
*LINEAR algebra, *FIELD extensions (Mathematics), *VECTOR spaces, *LINEAR dependence (Mathematics), *MATRICES (Mathematics), *NULLITY
Abstract

An elementary proof using matrix theory is given for the following criterion: if F/K and L/K are field extensions, with F and L both contained in a common extension field, then F and L are linearly disjoint over K if (and only if) some K-vector space basis of F is linearly independent over L. The material in this note could serve as enrichment material for the unit on fields in a first course on abstract algebra. [ABSTRACT FROM AUTHOR]

Published
2013
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