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Bounded meromorphic functions on compact real analytic sets

Elsevier Science B.V. (North-Holland)
Publication Date
  • Geometria Algebraica
  • Teoría De Conjuntos


We show that the ring of bounded meromorphic functions on an irreducible compact real analytic set of dimension d is a Prüfer domain of dimension d. Consequently, every finitely generated ideal in this ring can be generated by d + 1 elements, and we show that this bound is sharp.

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