On structure and commutativity of near-rings

• Abujabal, H. A. S. ^[1] ; Obaid, M. A. ^[1] ; Khan, M. A. ^[1]
  1. [1] King Abdulaziz University

     King Abdulaziz University

     Arabia Saudí

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 19, Nº. 2, 2000, págs. 113-124
• Idioma: inglés
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• Resumen

  • The aim of this paper is to generalize the results in [1] and [13]. Here, we are interested in two problems concerning certain classes of near rings satisfying one of the following polynomials identities :(∗) For each x; y in a near-ring N, there exist positive integers t = (x; y) ≥ 1 and s = s (x; y) > 1 such that xy = ±ysxt.(∗∗) For each x; y in a near-ring N, there exist positive integers t = t (x; y) ≥ 1 and s = s (x; y) > 1 such that xy = ±xtys.