Weakly and strongly regular near-rings

Argac N. , GROENEWALD N. J.

ALGEBRA COLLOQUIUM, cilt.12, ss.121-130, 2005 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 12 Konu: 1
  • Basım Tarihi: 2005
  • Doi Numarası: 10.1142/s1005386705000118
  • Dergi Adı: ALGEBRA COLLOQUIUM
  • Sayfa Sayıları: ss.121-130

Özet

In this paper, we prove some basic properties of left weakly regular near-rings. We give an affirmative answer to the question whether a left weakly regular near-ring with left unity and satisfying the IFP is also right weakly regular. In the last section, we use among others left 0-prime and left completely prime ideals to characterize strongly regular near-rings.