Decomposition reaction is a reaction in which a compound breaks into two or more simpler atoms (or group of atoms). For example, calcium carbonate on heating decomposes into calcium oxide and carbon dioxide.
CaCO3 (s) CaO (s) + CO2 (g)
Calcium carbonate Calcium oxide Carbon dioxide
An element cannot undergo a decomposition reaction because an element exists in its simplest form and thus cannot be further split up chemically.