  Dedekind stated and proved the well-known fact that a lattice is modular if
and only if it does not contain a pentagon as a sublattice. In this paper we
consider a similar result in the literature for the case of certain class of
modular join semilattices. We both simplify the original proof of the mentioned
result and note that if the notion of characterization is understood strictly
as a biconditional, then the proof only holds for the complete algebras in the
class.
