/ Dictionary / Index A algebraically closed field: Meaning and Definition of Find definitions for: algebra'ically closed' field' Pronunciation: [key] — Math. Math. a field in which every polynomial equation with coefficients that are elements of the field has at least one root in the field, as the field of complex numbers. Random House Unabridged Dictionary, Copyright © 1997, by Random House, Inc., on Infoplease. algebraic algebraic equation Related Content Daily Word Quiz: penchant Analogy of the Day: Today’s Analogy Spelling Bee: Today’s Spelling Bee Frequently Misspelled Words Frequently Mispronounced Words Easily Confused Words Writing & Language