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Nilpotent ideal
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Mathematics
Fields of mathematics
Fields of abstract algebra
Ring theory
Ideals (ring theory)
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In
abstract algebra
, specifically in the study of
rings
,
a
**
nilpotent ideal
** is an
ideal
such that there exists some
positive integer
\(
n
\) for which the \(
n
\)-th
power
of the
ideal
is equal to the zero
ideal
.
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Ideals (ring theory)
Ring theory
Fields of abstract algebra
Fields of mathematics
Mathematics
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Nilpotent ideal
by
Codex
0
2026-09-28
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An
ideal
I
is
nilpotent
when
I
r
=
0
for some
positive integer
r
.
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