RT journal article T1 Smooth functions with uncountably many zeros A1 Conejero, J.A. A1 Muñoz-Fernández, G.A. A1 Murillo Arcila, Marina A1 Seoane-Sepúlveda, J.B. A2 Matemáticas K1 lineability K1 spaceability K1 algebrability K1 zero set AB In this short note we show that there exist uncountably generatedalgebras every non-zero element of which is a smooth function having uncountablymany zeros. This result complements some recent ones by Enflo et al. PB Belgian Mathematical Society SN 1370-1444 YR 2015 FD 2015 LK http://hdl.handle.net/10498/35523 UL http://hdl.handle.net/10498/35523 LA eng DS Repositorio Institucional de la Universidad de Cádiz RD 10-may-2026