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prime ideal

American  

noun

Mathematics.

  1. 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.

Definitions and idiom definitions from Dictionary.com Unabridged, based on the Random House Unabridged Dictionary, © Random House, Inc. 2023

Idioms from The American Heritage® Idioms Dictionary copyright © 2002, 2001, 1995 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company.