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
• DOI: 10.22199/S07160917.1995.0002.00003
• 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.

• Referencias bibliográficas
  • Citas [1] H. A. Abujabal and M. S. Khan : "On Commutativity Theorern for Rings", Internat. J. Math. and Math. Sci., 13, pp. 87-...
  • [2] H. A. S. Abujabal : "Sorne Cornrnutativity Results for Rings", Beitriige Zur Alg. und Geo., 32, pp . 141- 151, (1991).
  • [3] H. A. S. Abujabal and M. A. Khan : "On Commutativity of One-sided S-unital Rings", Internat J. Math. and Math. Sci., 15, pp. 813-818,...
  • [4] H. A. S. Abujabal ; M. A. Khan and M. S. Samman : "On Coinmutativity of One Sided S-unital Rings", Tamkang J. Math., 23, pp. 253-...
  • [5] H. A. S. Abujabal "Two Cornrnutativity Results for Rings", Math. Japon, 38, pp. 297- 299, (1993).
  • [6] M. Ashraf ; M. A. Quadri and A. Ali : "On Cornrnutativity of Onesided S-unital Rings", Rad. Mat., 6, pp. 111- 117, (1990).
  • [7] M. Ashraf ; M. A. Quadri and V. Jacob, "Cornrnutativity of Right S-unital Rings Under Sorne Polynornial Constraints", Tamkang...
  • [8] l. N. Herstein : " Two Rernarks on the Cornrnutativity of Rings", Cand. J. Math., 7, pp. 411-412, (1995).
  • [9] Y. Hirano ; Y. Kobayashi and H. Tominaga : "Sorne Polynomial ldentities and Commutativity of S-unital Rings", Math. J. Okayama...
  • [10] H. Komatsu and H. Tominaga : "Chacron's Condition and Commutativity Theorems", Math. J. Okayama Univ., 31, pp. 101 - 120,...
  • [11] H. Komatsu ; T. Nishinaka and H. Tominaga : "On Commutativity of Rings", Rad. Mat., 6, pp. 303- 311, (1990).
  • [12] T. Nishinaka : "A Commutativity Theorem for Rings", Rad. Mat., 6, pp. 357- 359, (1990).
  • [13] W. Streb: "Zur Struktur Nichtommutativer Ringe", Math. J. Okayama Univ., 31, pp. 135- 140, (1989).