Free products of lattice ordered modules (Q1272223)

The paper deals with the free products of lattice ordered modules over totally ordered rings. Let \({\mathcal F}_R\) be the class of torsion-free \(f\)-modules over a totally ordered left Ore domain \(R.\) The authors give some representations for free products in \({\mathcal F}_R\) (among others, they show the importance of the minimal prime submodules for such representations) and prove that \({\mathcal F}_R\) has the amalgamation property. Further, they study cardinalities of sets of disjoint elements of the free products of modules in \({\mathcal F}_R.\)