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- W2031692510 abstract "Abstract Let A ℝ (𝔻) denote the set of functions belonging to the disc algebra having real Fourier coefficients. We show that A ℝ (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 theorem in [18]. A sufficient topological condition on the symmetric open set 𝔻 is given for the corresponding real algebra A ℝ (𝔻) to have Bass stable rank equal to 1 (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)" @default.
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- W2031692510 date "2010-07-14" @default.
- W2031692510 modified "2023-10-10" @default.
- W2031692510 title "On the stable rank and reducibility in algebras of real symmetric functions" @default.
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- W2031692510 doi "https://doi.org/10.1002/mana.200710080" @default.
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