maximal ideal

Noun

 * 1)  An  which cannot be made any larger (by adjoining any element to it) without making it improper (i.e., equal to the whole of the containing algebraic structure).
 * 2) * 2004, Ayman Badawi, Abstract Algebra Manual: Problems and Solutions, Nova Science, 2nd Edition, page 87,
 * Let S be the set of all prime ideals of B, and H be the set of all maximal ideals of B.
 * Let S be the set of all prime ideals of B, and H be the set of all maximal ideals of B.