Geodesic
Examples of infinitely generated function algebras
Czechoslovak Mathematical Journal, Tome 53 (2003) no. 1, pp. 77-81.

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Examples of non-finitely generated function algebras on planar sets with small maximal ideal spaces are given.
Classification : 46J10
Keywords: function algebra; generators; maximal ideal space 
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de Paepe, P. J. Examples of infinitely generated function algebras. Czechoslovak Mathematical Journal, Tome 53 (2003) no. 1, pp. 77-81. http://geodesic.mathdoc.fr/item/CMJ_2003__53_1_a6/