A Theorem on the Prime Graph of 2x2 - Matrix Ring of Z2

Abstract

In this paper we consider prime graph of R (denoted by ) of an associative ring R (introduced bySatyanarayana, Syam Prasad and Nagaraju [5]).This short paper is divided into two sections. Section-1 is devoted for preliminary definitions. In section -2we constructed prime graph of R(that is, PG(R)) where R = the set of all matrices over and proved that it is a star graph. At the end some fundamental properties of PG(R) were listed.