Vipul: Created page with '{{field extension property}} ==Definition== ===Symbol-free definition=== A field extension is termed '''separable''' if, for any algebraic element in the extension, th...'

2009-05-10T16:39:40Z

Created page with '{{field extension property}} ==Definition== ===Symbol-free definition=== A field extension is termed '''separable''' if, for any algebraic element in the extension, th...'

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{{field extension property}}

==Definition==

===Symbol-free definition===

A [[field extension]] is termed '''separable''' if, for any [[algebraic element]] in the extension, the [[minimal polynomial]] is a [[separable polynomial]].

==Relation with other properties==

===Stronger properties===

* [[Weaker than::Galois extension]]

===Opposite properties===

* [[Purely inseparable extension]]

Separable extension - Revision history

Vipul: Created page with '{{field extension property}} ==Definition== ===Symbol-free definition=== A field extension is termed '''separable''' if, for any algebraic element in the extension, th...'