When is the coordinate ring \(k[X]\) a domain?
Solution
\(k[X]\) is an integral domain if and only if \(I(X)\) is prime, if and only if \(X\) is irreducible (PR-7OT2Z).
When the coordinate ring $k[X]$ is an integral domain
P-AGXVARCOORDDOMAIN
- Area
- Algebraic Geometry
- Topics
- Coordinate Rings, Integral Domains, Irreducibility
- Status
- draft