JOURNAL OF INFORMATION & OPTIMIZATION SCIENCES, cilt.42, sa.7, ss.1425-1436, 2021 (ESCI)
In this paper, we study the Von-Neumann regular elements of non-commutative rings M-2(Z(2)) and M-2(Z(3)). We prove that M-2(Z(2)) and M-3(Z(3)) are Von-Neumann rings. We also give code in C++ to compute Von-Neumann regular elements of M-2(Z(n)).