Factorization in Krull monoids with infinite class group
Volume 80 / 1999
Colloquium Mathematicum 80 (1999), 23-30
DOI: 10.4064/cm-80-1-23-30
Abstract
Let H be a Krull monoid with infinite class group and such that each divisor class of H contains a prime divisor. We show that for each finite set L of integers ≥2 there exists some h ∈ H such that the following are equivalent: (i) h has a representation $h=u_1·...· u_k$ for some irreducible elements $u_i$, (ii) k ∈ L.
