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Let Aℝ(𝔻) denote the set of functions belonging to the disc algebra having real Fourier coefficients. We show that Aℝ(𝔻) has Bass and topological stable ranks equal to 2, which settles the conjecture made by Brett Wick in [18]. We also give a necessary and sufficient condition for reducibility in some real algebras of functions on symmetric domains with holes, which is a generalization of the main...
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