# The catenary degree of Krull monoids I

@inproceedings{Geroldinger2011TheCD, title={The catenary degree of Krull monoids I}, author={Alfred Geroldinger and David J. Grynkiewicz and Wolfgang A. Schmid}, year={2011} }

- Published 2011
DOI:10.5802/jtnb.754

Let H be a Krull monoid with finite class group G such that every class contains a prime divisor (for example, a ring of integers in an algebraic number field or a holomorphy ring in an algebraic function field). The catenary degree c(H) of H is the smallest integer N with the following property: for each a 2 H and each two factorizations z, z 0 of a, there exist factorizations z = z0, . . . , zk = z 0 of a such that, for each i 2 (1, k), zi arises from zi−1 by replacing at most N atoms from zi… CONTINUE READING