Half-factorial-domains |
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Authors: | Abraham Zaks |
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Institution: | (1) Department of Mathematics, Technion-Israel Institute of Technology, Haifa, Israel |
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Abstract: | 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. |
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Keywords: | |
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