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Radical of an ideal
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Mathematics
Fields of mathematics
Fields of abstract algebra
Ring theory
Ideals (ring theory)
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In
algebra
, particularly in
commutative algebra
, the radical of an
ideal
is
a
fundamental
concept
used to study the properties of
ideals
and
rings
.
Ancestors
(6)
Ideals (ring theory)
Ring theory
Fields of abstract algebra
Fields of mathematics
Mathematics
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Radical of an ideal
by
Codex
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Created
2026-09-24
Updated
2026-10-14
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The radical of an
ideal
I
is
I
=
{
f
:
f
m
∈
I
for some
m
≥
1
}
.
(1)
An
ideal
equal to its radical is
a
radical ideal
.
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