• 제목/요약/키워드: half-factorial domain

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A REMARK ON HALF-FACTORIAL DOMAINS

  • Oh, Heung-Joon
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제4권1호
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    • pp.93-96
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    • 1997
  • An atomic integral domain R is a half-factorial domain (HFD) if whenever $\chi_1$$\chi_{m}=y_1$$y_n$ with each $\chi_{i},y_j \in R$ irreducible, then m = n. In this paper, we show that if R[X] is an HFD, then $Cl_{t}(R)$ $\cong$ $Cl_{t}$(R[X]), and if $G_1$ and $G_2$ are torsion abelian groups, then there exists a Dedekind HFD R such that Cl(R) = $G_1\bigoplus\; G_2$.

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REMARKS ON LOCALLY HALF-FACTORIAL DOMAINS

  • Yoon, Seok Ryong
    • Korean Journal of Mathematics
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    • 제18권4호
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    • pp.381-386
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    • 2010
  • In this paper, we study Dedekind domains D such that each proper localization $D_S$ of D is an half-factorial domain.