radical ideal
radical ideal · radical ideals
An ideal I within a ring R that is its own radicalAn ideal I within a ring R that is its own radical (i.e., for any r ∈ R, if rⁿ ∈ I for some positive integer n, then r ∈ I).
Meaning
1 sensesAn ideal I within a ring R that is its own radical (i.e., for any r ∈ R, if rⁿ ∈ I for some positive integer n, then r ∈ I).
Forms
plural: radical ideals| Singular | radical ideal |
|---|---|
| Plural | radical ideals |
regular
Synonyms
1 synonymsideal that is its own radical:semiprime ideal