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English-
translations for
prime ideal
Definition of prime ideal
Any
ideal
I
such that for arbitrary ideals
P
and
Q
,
PQ\subseteq I\implies P\subseteq I
or
Q\subseteq I
In a
commutative ring
, a ideal
I
such that for arbitrary ring elements
a
and
b
,
ab \in I \implies a \in I
or
b \in I
Related words
prime
primer
subprime
primeval
primed
primeur
coprime
semiprime
primeness
biprime
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