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A Counterexample to the Huneke-Wiegand Conjecture

Pham, Son
arXiv (All) · Papers
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commutative-algebra
We construct a symmetric numerical semigroup $Γ$ of multiplicity $56$, embedding dimension $26$, and Frobenius number $181$ such that, over every field $k$, the one-dimensional Gorenstein local domain $R=k[t^Γ]_{\mathfrak{m}}$ has a nonprincipal ideal $I=(t^{56},t^{70})R$ for which $I\otimes_R\opera
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