A study of non-commutative Von-Neumann regular rings

Afzal F., Rukh S., Afzal D., Farahani M. R., Cancan M., Ediz S.

JOURNAL OF INFORMATION & OPTIMIZATION SCIENCES, cilt.42, sa.7, ss.1425-1436, 2021 (ESCI)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 42 Sayı: 7
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1080/02522667.2021.1896650
  • Dergi Adı: JOURNAL OF INFORMATION & OPTIMIZATION SCIENCES
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.1425-1436
  • Anahtar Kelimeler: Regular Rings, Von-Neumann regular elements, Von-Neumann regular rings, ZERO DIVISOR GRAPH, MATRICES
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

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)).