Breadcrumb Home > Dictionary > Index P Cite principal ideal domain: Meaning and Definition of Find definitions for: prin'cipal ide'al domain' Pronunciation: [key] — Math. Math. a commutative integral domain with multiplicative identity in which every ideal is principal. Also called Random House Unabridged Dictionary, Copyright © 1997, by Random House, Inc., on Infoplease. principal ideal principality TrendingHere are the facts and trivia that people are buzzing about. April 2021 Current Events: US News The Berlin Conference and the Partition of Africa The Implied Powers of Congress Noble Titles and Ranks in a Monarchy Keeping Your Brain Active in a COVID-19 World Quetzalcoatl: Aztec Myths and Myths About the Aztecs Related Content Daily Word Quiz: mantra Analogy of the Day: Today’s Analogy Frequently Misspelled Words Frequently Mispronounced Words Easily Confused Words Writing & Language