Israel Journal of Mathematics

, Volume 37, Issue 4, pp 281–302 | Cite as


  • Abraham Zaks


LetR be a commutative domain with 1. We termR an HFD (Half-Factorial-Domain) provided the equality Π i=1 n χi=Π{f=1/m}y f impliesm=n, whenever thex’s and they’s are non-zero, non-unit and irreducible elements ofR. The purpose of this note is to study HFD’s, in particular, Krull domains that are HFD’s, and to provide examples of HFD’s, that contradict a conjecture of Narkiewicz.


Prime Ideal Class Group Length Function Finite Order Principal Ideal 
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Copyright information

© Hebrew University 1980

Authors and Affiliations

  • Abraham Zaks
    • 1
  1. 1.Department of MathematicsTechnion-Israel Institute of TechnologyHaifaIsrael

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