#lecture 9# An element a of K is algebraic over F iff [F(a): F] is finite...

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Lec-8 Theorem: An element a of K is algebraic over F iff [F(a) :F] is finite. Lec-8 Theorem: An element a of K is algebraic over F iff [F(a) :F] is finite.
Finite Extensions are Algebraic (Algebra 3: Lecture 9 Video 3) Finite Extensions are Algebraic (Algebra 3: Lecture 9 Video 3)
Theorem || If K/F is an extension of F and a is algebraic over F iff [F(a): F ]=n || Field Theory Theorem || If K/F is an extension of F and a is algebraic over F iff [F(a): F ]=n || Field Theory
An element a€k is algebraic over F iff [F(a):F] is finite || Field extension || Msc Maths || #Priti An element a€k is algebraic over F iff [F(a):F] is finite || Field extension || Msc Maths || #Priti
if K/F be any extension then a€K is algebraic over F iff [F(a) :F] =finite if K/F be any extension then a€K is algebraic over F iff [F(a) :F] =finite
Lecture 17(let K be an extension of F. a belongs to K and algebraic over F iff [F(a) :F] is finite Lecture 17(let K be an extension of F. a belongs to K and algebraic over F iff [F(a) :F] is finite
Field Theory 5: Algebraic and Finite Extensions Field Theory 5: Algebraic and Finite Extensions
[K:F] = [K:E] [E:F] [K:F] = [K:E] [E:F]