Cite
 

Meaning of principal ideal

prin'cipal ide'al

Pronunciation: [key]
— Math. Math.
  1. the smallest ideal containing a given element in a ring; an ideal in a ring with a multiplicative identity, obtained by multiplying each element of the ring by one specified element.
Random House Unabridged Dictionary, Copyright © 1997, by Random House, Inc., on Infoplease.