The main objective of this
paper is to present several constructions of free products in the class of abelian
l-groups which are sufficiently concrete to allow for an in depth examination of their
structure. Some applications of these constructions are discussed, and it is shown
that abelian l-group free products satisfy the subalgebra property. Further, some
questions on free l-groups over group free products are considered for a variety of
l-groups which is either abelian or contains the representable l-groups. Finally, a
general observation is made about countable chains and countable disjoint sets in free
algebras.
