Abstract
LetR be a commutative domain with 1. We termR an HFD (Half-Factorial-Domain) provided the equality Π ni=1 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.
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Zaks, A. Half-factorial-domains. Israel J. Math. 37, 281–302 (1980). https://doi.org/10.1007/BF02788927
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DOI: https://doi.org/10.1007/BF02788927