Abstract
We show that the structure of the lattice Semistar(D) of semistar operations on a Dedekind domain D depends only on the cardinality of the set Max(D) of maximal ideals of D, and we give an explicit construction of Semistar(D) when Max(D) is finite. As a corollary we show that if n = |Max(D)| is finite; we compute |Semistar(D)| if |Max(D)| ≤7; and we show that if Max(D) is infinite then Semistar(D) has cardinality 22|Max(D)|.
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