Algebraic Extension | Transcendental Extension | Field theory

Time Stamps
0:00-0:32 Inro
0:33-3:33 Algebraic Element
3:33-6:31 Algebraic Element Examples
6:31-9:42 Transcendental elements (Non algebraic element)
9:49-12:48 Algebraic Extensions
13:07-15:57 Transcendental extensions

Here in this Video we see the Definition of Algebraic Extension but before going to this we need to understand the basic term algebraic element over Field F. So we have base field F and its extension E. An element 'u' in E is said to be algebraic over F if there exists a non constant polynomial in f[x] such that u is the root of the polynomial.

Algebraic Extension : An Extension E is said to be algebraic over F if each element is algebraic over F.

#algebraic
#transcendental
#abstractalgebra
#fieldtheory
#mscmaths
#mathematics

what is algebraic element
what is algebraic extension
what is transcendental extension
what are the examples of transcendental extension

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