
Prime ideal
Ideal in a ring which has properties similar to prime elements

Ideal in a ring which has properties similar to prime elements
In algebra, a prime ideal is a subset of a ring that shares many important properties of a prime number in the ring of integers. The prime ideals for the integers are the sets that contain all the multiples of a given prime number, together with the zero ideal. Primitive ideals are prime, and prime ideals are both primary and semiprime.
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