radical ideal
nounDefinitions
An ideal I within a ring R that is its own radical (i.e., for any r ∈ R, if rⁿ ∈ I for…
An 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).
- It follows at once that R#47;I is a reduced ring iff I is a radical ideal. Thus, the ideals I(X) are all radical ideals.
The neighborhood
Vish — recursive loop
No curated loop yet for radical ideal. Loops are being traced one word at a time while the ingestion pipeline matures.
sense glosses and etymology drawn from English Wiktionary · source · CC-BY-SA