  We present several naturally occurring classes of spectral spaces using
commutative algebra on pointed monoids. For this purpose, our main tools are
finite type closure operations and continuous valuations on monoids which we
introduce in this work. In the process, we make a detailed study of different
closure operations on monoids. We prove that the collection of continuous
valuations on a topological monoid with topology determined by any finitely
generated ideal is a spectral space.
