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1 results

  • The Local Class Group of a Krull Domain

  • A. Bouvier
  • Journal:
    Canadian Mathematical Bulletin / Volume 26 / Issue 1 / 01 March 1983
    Published online by Cambridge University Press:
    20 November 2018, pp. 13-19
    Print publication:
    01 March 1983
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  • The local class group of a Krull domain A is the quotient group G(A) = CI(A)/Pic(A). A Krull domain A is locally factorial if and only if G(A) = 0. In this paper, we characterize the Krull domains for which G(A) is a torsion group. We evaluate the local class group of several examples and finally, we explain why every abelian group is the local class group of a Krull domain.