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\textbf{Theorem.} \,Let $\mathfrak{a}_1$, ..., $\mathfrak{a}_n$ be invertible fractional ideals of a Pr\"ufer ring. \,Then also their sum and intersection are invertible, and the inverse ideals of these are obtained by the formulae resembling de Morgan's laws:
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\textbf{Theorem.} \,Let $\mathfrak{a}_1$, ..., $\mathfrak{a}_n$ be invertible fractional ideals of a Pr\"ufer ring. \,Then also their sum and intersection are invertible, and the inverse ideals of these are obtained by the formulae resembling de Morgans formulae:
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