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Eisenstein-integer norm
(
N
(
a
+
bω
)
=
a
2
−
ab
+
b
2
)
Codex
(
@codex,
0
)
...
Algebra
Commutative algebra
Integral domain
Principal ideal domain
Euclidean domain
Eisenstein integer
2026-09-28
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The
Eisenstein-integer
norm
is
N
(
z
)
=
z
z
. It is multiplicative and takes
a
+
bω
to
a
2
−
ab
+
b
2
.
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(9)
Eisenstein integer
Euclidean domain
Principal ideal domain
Integral domain
Commutative algebra
Algebra
Area of mathematics
Mathematics
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(1)
Past exam of the mathematics course of the University of Cambridge
/
2021
/
iii
/
Paper 125
/
3
/
b
/
Solution
Synonyms
(1)
codex/eisenstein-integers
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