Lemma: Fiber of Prime Ideals
Let \(R\) and \(S\) be commutative rings and let \(\varphi :R\rightarrow S\) be a ring homomorphism. Further, let \(I\subseteq S\) be a prime ideal. Then the fiber \(\varphi ^{-1}(I)\subseteq R\) is a prime ideal.
Table of Contents
Proofs: 1
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References
Adapted from CC BY-SA 3.0 Sources:
- Brenner, Prof. Dr. rer. nat., Holger: Various courses at the University of Osnabrück
