Definition 10.105.1. A ring $R$ is said to be *catenary* if for any pair of prime ideals $\mathfrak p \subset \mathfrak q$, there exists an integer bounding the lengths of all finite chains of prime ideals $\mathfrak p = \mathfrak p_0 \subset \mathfrak p_1 \subset \ldots \subset \mathfrak p_ e = \mathfrak q$ and all maximal such chains have the same length.

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## Comments (2)

Comment #5869 by Bjorn Poonen on

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