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Algebraic extension
In
abstract algebra
, a
field extension
L
/
K
is called
algebraic
if every element of
L
is
algebraic
over
K
, i.e. if every element of
L
is a
root
of some non-zero
polynomial
with coefficients in
K
. Field extensions that are not algebraic, i.e. which contain
transcendental elements
, are called
transcendental
.
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