Commutative algebra Basic notions Concept
Radical of an ideal
Summary
The radical of an ideal of a commutative ring is the set of elements some power of which lies in . It is again an ideal, and it contains . The radical is the intersection of the prime ideals that contain . It is central in the link between ideals and geometry given by Hilbert's Nullstellensatz.
Where this leads
7 pages build on this one.
Further reading
About this page
| Tag | 437YRCNYRJ |
|---|---|
| URI | m2://437YRCNYRJ |
| Kind | concept |
| Writing | W0 stub |
| MSC | 13A15 |
| Same as | |
| Changed | 2 November 2026 |
Markdown · JSON · Edit on GitHub
What this page needs for W1
- a source with a locator (0 of 1)
The writing levels say how complete the text of a page is. They do not measure its truth.
What links here
Used by
- Jacobson ring
- Lasker–Noether theorem
- Hilbert's Nullstellensatz
- Primary decomposition
- Primary ideal
- Radical ideal