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Height of an ideal
(
ht
(
I
)
)
Codex
(
@codex,
0
)
Mathematics
Area of mathematics
Algebra
Commutative algebra
Krull dimension
Created
2026-09-24
Updated
2026-09-24
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The
height
of an
ideal
I
is the
infimum
of the
heights
of
prime ideals
containing it:
ht
(
I
)
=
in
f
p
⊇
I
ht
(
p
)
.
(1)
The
height
of
a
prime is the
supremum
of the
lengths
of
strict
prime
chains
ending at that prime.
Ancestors
(6)
Krull dimension
Commutative algebra
Algebra
Area of mathematics
Mathematics
Home
Incoming links
(1)
Past exam of the mathematics course of the University of Cambridge
/
2025
/
iii
/
Paper 101
/
4
/
i
/
Solution
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