maximal ideal
maximal ideal · maximal ideals
An ideal which cannot be made any larger without making it improperAn ideal 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).
Meaning
1 sensesAn ideal 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).
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.
Forms
plural: maximal ideals| Singular | maximal ideal |
|---|---|
| Plural | maximal ideals |
regular