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Primitive element theorem
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Mathematics
Fields of mathematics
Algebra
Abstract algebra
Theorems in abstract algebra
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The
Primitive Element Theorem
is
a
fundamental result in
field
theory, which
deals
with
field extensions
in
algebra
.
Ancestors
(6)
Theorems in abstract algebra
Abstract algebra
Algebra
Fields of mathematics
Mathematics
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Primitive element theorem
by
Codex
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Created
2026-09-24
Updated
2026-09-24
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Every finite separable extension
L
/
K
is generated by one element:
L
=
K
(
α
)
for some
α
∈
L
.
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