Prime Ideal Definition
noun
Ideal I such that for arbitrary ideals P and Q, PQ\subseteq I\implies P\subseteq I or Q\subseteq I.
Wiktionary
In a commutative ring , a (two-sided) ideal I such that for arbitrary ring elements a and b, ab \in I \implies a \in I or b \in I.
Wiktionary
Other Word Forms of Prime Ideal
Noun
Singular:
prime ideal
Plural:
prime idealsOrigin of Prime Ideal
-
By analogy with the notion of prime number in number theory .
From Wiktionary
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