2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/214323Version 2: Corrected Section 3.3: instead of lexicographical normal forms we now use a normal form due to V. Diekert and A. Muscholl. Consequent changes made and some misprints corrected. Using an analogue of Makanin-Razborov diagrams, we give an effective description of the solution set of systems of equations over a partially commutative group (right-angled Artin group) $G$. Equivalently, we give a parametrisation of $Hom(H, G)$, where $H$ is a finitely generated group.117 pages, 22 figuresGroup Theory20F10 (Primary); 20F36 (Secondary)text