On commutativity of right S-unital rings with some polynomial constraints

• Abujabal, H. A. S. ^[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. 14, Nº. 2, 1995, págs. 89-96
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • We study the commutativity of certain class of rings, namely rings with unity 1 and right s-unital under each of the following properties [yxm - xn f (y) xP , x]= 0, [yxm + xn f (y) xP, x] = 0, where f (t) is a polynomial in t2Z [t] varying with pair of ring elements x, y and m, n, p are fixed non-negative integers. Moreover, the results have been extended to the case when m and n depend on the choice of x and y and the ring satisfies the Chacron's Theorem.