Maximal Ideal

- Natural & Formal Sciences -
Mathematics & Logic Dictionary
A proper ideal M of a ring R that is maximal with respect to inclusion among proper ideals; equivalently, the quotient ring R/M is a field.

Maximal Ideal

- Pure Mathematics -
Algebra Dictionary
A proper ideal M of a ring R that is maximal with respect to inclusion among proper ideals: there is no ideal I with M ⊊ I ⊊ R; equivalently R/M is a field.