Bulletin of Pure & Applied Sciences- Mathematics and Statistics
  • Year: 2012
  • Volume: 31e
  • Issue: 2

Some commutativity results on semi- prime rings

  • Author:
  • A. K. Modi, A. L. Chute1
  • Total Page Count: 8
  • Page Number: 225 to 232

1Department of Mathematics, M.B. Patel College, Sakoli-441 802, (MS) India

Department of Mathematics, J.M. Patel College, Bhandara-441 904, (MS) India

Online published on 24 March, 2014.

Abstract

In this paper we prove three results on semi-prime rings.

If R is a 2-torsion free semi-prime ring satisfying [(xy)2, [xy,yx]] = 0 for all x,y in R, then R is commutative.

If R is a 2-torsion free semi-prime ring satisfying [xyn, [xy,yx]] = 0 for all x, y in R, then R is commutative.

If R is a 2-torsion free semi-prime ring satisfying [ynx, [xy,yx]] = 0 for all x,y in R, then R is commutative.

Keywords

Semi-prime ring, Commutative, 2-torsion