A+ CATEGORY SCIENTIFIC UNIT

Factorization in Krull monoids with infinite class group

Volume 80 / 1999

Florian Kainrath 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.

Authors

  • Florian Kainrath

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