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The covering dimension of a distinguished subset of the spectrum of and the algebra of real-symmetric and continuous functions on

โœ Scribed by Raymond Mortini

Book ID
113933890
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
220 KB
Volume
159
Category
Article
ISSN
0166-8641

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On the stable rank and reducibility in a
On the stable rank and reducibility in algebras of real symmetric functions
โœ R. Rupp; A. Sasane ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 172 KB

## Abstract Let __A__~โ„~(๐”ป) denote the set of functions belonging to the disc algebra having real Fourier coefficients. We show that __A__~โ„~(๐”ป) 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 conditi