On equivalence of graded rings

Abstract

Let R=⊕g∈GRg be a G-graded ring. In this paper we define the “homogeneousequivalence” concept between graded rings. We discuss some properties of the G-graded rings and investigate which of these are preserved under homogeneous-equivalence maps. Furthermore, we give some results in graded ring theory and also some applications of this concept to Z-graded rings.

Keywords

• Graded rings
• homogeneously-equivalent graduations
• Z-graded rings.