nLab minimal ideal

Contents

Contents

Idea

A minimal ideal is a proper ideal which doesn’t contain any other proper ideal. Formally, JJ is minimal iff for every ideal II, IJI \leq J implies I=(0)I=(0) or I=JI=J.

This notion is the dual to the more popular one of maximal ideal.

References

See also

Last revised on March 13, 2023 at 09:23:03. See the history of this page for a list of all contributions to it.