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If $I$ is a closed ideal of $A^+$, we denote by $S_I$ the greatest common divisor of the inner factors of the nonzero elements of $I$ and by $I^A$ the closed ideal generated by $I$ in $A(\\Gamma)$. It was conjectured that the equality $I^A= S_I H^\\infty \\cap I^A$ holds for every closed ideal $I$. 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If $I$ is a closed ideal of $A^+$, we denote by $S_I$ the greatest common divisor of the inner factors of the nonzero elements of $I$ and by $I^A$ the closed ideal generated by $I$ in $A(\\Gamma)$. It was conjectured that the equality $I^A= S_I H^\\infty \\cap I^A$ holds for every closed ideal $I$. 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