%0 Journal Article 
%A Conejero, J.A.
%A Muñoz-Fernández, G.A.
%A Murillo Arcila, Marina
%A Seoane-Sepúlveda, J.B.
%T Smooth functions with uncountably many zeros
%D 2015
%@ 1370-1444
%U http://hdl.handle.net/10498/35523
%X In this short note we show that there exist uncountably generated
algebras every non-zero element of which is a smooth function having uncountably
many zeros. This result complements some recent ones by Enflo et al.
%K lineability
%K spaceability
%K algebrability
%K zero set
%~ Universidad de Cádiz