Sum of two prime ideal is not necessarily a prime ideal. Example in the ring $\mathbb{C}[x, y]$ with prime ideals $P = (x^2 + y^2 − 1)$ and $Q = (x)$, but $P+Q$ is not prime ideal. My question is sum of two maximal ideal is necessarily a maximal ideal?
2026-04-05 17:16:43.1775409403
Sum of two maximal ideal is necesarily maximal ideal?
1.5k Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in RING-THEORY
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