Volume : 2, Issue : 6, JUN 2016

A THEOREM ON THE ZERO DIVISOR GRAPH OF THE RING OF 2´2 - MATRICES OVER Z 2

Satyanarayana Bhavanari, Srinivasulu Devanaboina, Mallikarjun Bhavanari

Abstract

In this paper we consider the ring R of 2´2 - matrices over Z (the ring of integers modulo 2). We constructed ZDG(R) (the zero divisor graph of the ring R) and 2 obtained a simple fundamental important result on ZDG(R). Finally we observed some basic properties of ZDG(R).

Keywords

Zero divisor graph, Star graph, Associative ring.

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