RT Journal Article T1 Smooth functions with uncountably many zeros A1 Conejero, Jose A. A1 Muñoz-Fernández, Gustavo A. A1 Arcila, , M. A1 Seoane-Sepúlveda, Juan B. AB 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. [7, 9]. PB BELGIAN MATHEMATICAL SOC TRIOMPHE SN 1370-1444 YR 2015 FD 2015 LK https://hdl.handle.net/20.500.14352/34624 UL https://hdl.handle.net/20.500.14352/34624 LA eng NO CNPq NO MEC Project NO Programa de Investigacion y Desarrollo de la UPV NO FPU grant of MEC Project DS Docta Complutense RD 7 abr 2025