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Left Zero Divisor Graphs of Totally Ordered Rings( Vol-2,Issue-6,June 2016 ) |
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Author(s): Satyanarayana Bhavanari, Srinivasulu Devanaboina, Mallikarjun Bhavanari |
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Keywords: |
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Prime graph, Zero divisor graph, Star graph, Associative ring, Left Zero divisor graph. Mathematics subject classification: 05C20, 05C76, 05C99, 13E15, 68R10. |
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Abstract: |
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In this paper we consider prime graph of R (denoted by ) of an associative ring R (introduced by Satyanarayana, Syam Prasad and Nagaraju [6]). This short paper is divided into two Sections. Section-1 is devoted for preliminary definitions. In section-2, we constructed Left zero divisor graph of R (denoted by LZDG(R)) where R = the set of all matrices over the ring of integers modulo 2. |
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