Right zero divisor graph of 2×2 matrices over Z₃

Abdul Jalil M. Khalaf1 Department of Mathematics, Faculty of Computer Science and Mathematics, University of Kufa, Najaf, [email protected]

https://orcid.org/0000-0002-2447-6666

Hina Dilawer2 Department of Mathematics and Statistics, The University of Lahore, Lahore 54000, [email protected]

Farkhanda Afzal3 MCS, National University of Sciences and Technology (NUST), Islamabad, PakistanCorrespondence[email protected]

Ayesha Maqbool4 MCS, National University of Sciences and Technology (NUST), Islamabad, [email protected]

Deeba Afzal5 Department of Mathematics and Statistics, The University of Lahore, Lahore 54000, [email protected]

Faryal Chaudhry6 Department of Mathematics and Statistics, The University of Lahore, Lahore 54000, [email protected]

Abstract

In this paper right zero divisor graph of ring R, where R is set of all 2×2 matrices over the ring Z3 of integer modulo 3 is constructed. Algorithm is also presented to find vertices and edges of right zero divisor graphs. Properties of RZDG(R) are also discussed.

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Right zero divisor graph of 2×2 matrices over Z3

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Right zero divisor graph of 2×2 matrices over Z₃