2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/114055This paper studies the class group of graded integral domains. As an application, we state a decomposition theorem for class groups of semigroup rings. This recovers well-known results developed for the classic contexts of polynomial rings and Krull semigroup rings. Our results are backed by original examples.17 pagesCommutative AlgebraNumber Theory13C20; 13A02; 13F05; 13B22text