BHAVANARI, SATYANARAYANA and DEVANABOINA, SRINIVASULU and TALLA, HYMAVATHI and BHAVANARI, MALLIKARJUN
(2017)
*ONE SIDED ZERO DIVISOR GRAPHS OF RINGS WITH A TOTAL ORDER.*
Asian Journal of Mathematics and Computer Research, 15 (1).
pp. 9-17.

## Abstract

In this paper we consider prime graph of R (denoted by PG(R)) of an associative ring R (introduced by Satyanarayana, Syam Prasad and Nagaraju [1]). This short paper is divided into four Sections. Section-1 is devoted for preliminary definitions. In section-2, we constructed Right zero divisor graph of R (denoted by RZDG(R)) where R = the set of all 2×2 matrices over the ring Z_2 of integers modulo 2. In section-3, we proved some equivalent conditions related to one sided zero divisor graphs on rings with certain total order (which is not concern with the binary operations of the ring R) and compared with prime graph. Some related fundamental results were mentioned.

Item Type: | Article |
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Subjects: | Eprint Open STM Press > Mathematical Science |

Depositing User: | Unnamed user with email admin@eprint.openstmpress.com |

Date Deposited: | 06 Jan 2024 03:36 |

Last Modified: | 06 Jan 2024 03:36 |

URI: | http://library.go4manusub.com/id/eprint/1890 |