Mohammed H. Fahmy, Ahmed Ageeb Elokl and Ramy Abdel-Khalek
The aim of this paper is to investigate the relationship between the ring structure of the twisted partial skew generalized power series ring
Abstract
Purpose
The aim of this paper is to investigate the relationship between the ring structure of the twisted partial skew generalized power series ring
Design/methodology/approach
The authors first introduce the history and motivation of this paper. Secondly, the authors give a brief exposition of twisted partial skew generalized power series ring, in addition to presenting some properties of such structure, for instance, a-rigid ring, a-compatible ring and (G,a)-McCoy ring. Finally, the study’s main results are stated and proved.
Findings
The authors establish the relation between the diameter and girth of the zero-divisor graph of twisted partial skew generalized power series ring
Originality/value
The results of the twisted partial skew generalized power series ring embrace a wide range of results of classical ring theoretic extensions, including Laurent (skew Laurent) polynomial ring, Laurent (skew Laurent) power series ring and group (skew group) ring and of course their partial skew versions.