Commutative algebra Basic notions Concept
Nilradical
Summary
The nilradical of a commutative ring is the set of its nilpotent elements. It is an ideal, the radical of the zero ideal. It equals the intersection of all prime ideals of the ring, and a ring with zero nilradical is called reduced.
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| Tag | QQDN6EYQNJ |
|---|---|
| URI | m2://QQDN6EYQNJ |
| Kind | concept |
| Writing | W0 stub |
| MSC | 13A15 |
| Same as | |
| Changed | 2 November 2026 |
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