/ Dictionary / Index P prime ideal: Meaning and Definition of Find definitions for: prime' ide'al Pronunciation: [key] — Math. Math. an ideal in a ring with a multiplicative identity, having the property that when the product of two elements of the ring results in an element of the ideal, at least one of the elements is an element of the ideal. Random House Unabridged Dictionary, Copyright © 1997, by Random House, Inc., on Infoplease. prime field prime interest rate Related Content Daily Word Quiz: eureka Analogy of the Day: Today’s Analogy Spelling Bee: Today’s Spelling Bee Frequently Misspelled Words Frequently Mispronounced Words Easily Confused Words Writing & Language