English Dictionary

maximal ideal

noun

(algebra, ring theory) An 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).

The maximal ideal of the algebra is a proper subset of the ring.

意味（1）

(algebra, ring theory) An 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).

Denote the minimal prime ideal in (b) by J_ mathsf max(𝜆), the unique maximal ideal of infinitesimal character 𝜆.