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:
“And shall I prime my children, pray, to pray?”
—Gwendolyn Brooks (b. 1917)
“There is no dream of love, however ideal it may be, which does not end up with a fat, greedy baby hanging from the breast.”
—Charles Baudelaire (1821–1867)