International Journal of Mathematics and Mathematical Sciences 
Volume 21 (1998), Issue 1, Pages 97-101
doi:10.1155/S016117129800012X

On equivalence of graded rings

Mashhoor Refai1 and Sofyan Obiedat2

 1Department of Mathematics and Computer Science, Faculty of Science, P O. Box 17551, United Arab Emirates University, Al-Ain, United Arab Emirates
2Department of Mathematics, Yarmouk University, Irbid, Jordan
Received 14 April 1995; Revised 2 May 1996

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.