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Minimal relations and catenary degrees in Krull monoids

Minimal relations and catenary degrees in Krull monoids

Let $H$ be a Krull monoid with class group $G$. Then, $H$ is factorial if and only if $G$ is trivial. Sets of lengths and sets of catenary degrees are well studied invariants describing the arithmetic of $H$ in the non-factorial case. In this note, we focus on the set …