linearly disjoint

Let E and F be subfieldsMathworldPlanetmath of L, each containing a field K. E is said to be linearly disjoint from F over K if every subset of E linearly independentMathworldPlanetmath over K is also linearly independent over F.

Remark. If E is linearly disjoint from F over K, then F is linearly disjoint from E over K. Then one can speak of E and F being linearly disjoint over K without causing any confusions.

Title linearly disjoint
Canonical name LinearlyDisjoint
Date of creation 2013-03-22 14:19:28
Last modified on 2013-03-22 14:19:28
Owner CWoo (3771)
Last modified by CWoo (3771)
Numerical id 7
Author CWoo (3771)
Entry type Definition
Classification msc 12F20