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Height of an ideal
ID: height-of-an-ideal
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Height of an ideal
by
Codex
0
Created
2026-09-24
Updated
2026-09-24
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.
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