In algebra (which is a branch of mathematics), a prime ideal is a subset of a ring which 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 or zero.
Primitive ideals are prime, and prime ideals are both primary and semiprime.
Read more about Prime Ideal: Prime Ideals For Commutative Rings, Prime Ideals For Noncommutative Rings, Important Facts, Connection To Maximality
Famous quotes containing the words prime and/or ideal:
“Ay, look: high heaven and earth ail from the prime foundation;
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Horror and scorn and hate and fear and indignation—
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—A.E. (Alfred Edward)
“... my whole existence is governed by abstract ideas.... the ideal must be preserved regardless of fact.”
—Mary Corinna Putnam (1842–1906)