1 Introduction 1.1 What is the Role of the GradedRingForHomalg Package in the homalg Project? The homalg project [hpa10] aims at providing a general and abstract framework for homological computations. The package GradedRingForHomalg enables the homalg project to endow commutative rings in homalg with an Abelian grading. 1.2 Functionality The package GradedRingForHomalg on the one hand builds on the package MatricesForHomalg and on the other hands adds functionality to MatricesForHomalg. 1.3 The Math Behind This Package