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Tag 02JM

Chapter 10: Commutative Algebra > Section 10.35: Finite and integral ring extensions

Lemma 10.35.15. Let $A \to B \to C$ be ring maps.

  1. If $A \to C$ is integral so is $B \to C$.
  2. If $A \to C$ is finite so is $B \to C$.

Proof. Omitted. $\square$

    The code snippet corresponding to this tag is a part of the file algebra.tex and is located in lines 7356–7363 (see updates for more information).

    Let $A \to B \to C$ be ring maps.
    \item If $A \to C$ is integral so is $B \to C$.
    \item If $A \to C$ is finite so is $B \to C$.

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