The Archimedean \(\ell\)-group tensor product (Q1311424)

The authors construct the Archimedean \(\ell\)-group tensor product \(E\overline {\otimes} F\) of Archimedean \(\ell\)-groups \(E\), \(F\). They introduce an ordering on the algebraic tensor product \(E\otimes F\) that has a universal mapping property with respect to a notion of Riesz homomorphism. The introduction of the Archimedean \(\ell\)-group tensor product is a constructive generalization from Archimedean vector lattices.