Bulletin of Pure & Applied Sciences- Mathematics and Statistics
  • Year: 2013
  • Volume: 32e
  • Issue: 1

Semigroups satisfying the identity XYZ = XZ

  • Author:
  • K. Mrudula Devi, G. Shobha Latha
  • Total Page Count: 7
  • Page Number: 75 to 81

*Research Scholar, Dr. B.R. Ambedkar Open University, Hyderabad (A.P.). e-mail: mruduladevisai@gmail.com

**Professor, Department Of Mathematics, Sri Krishna Devaraya University, Anantapur, Andhra Pradesh, India. E-mail: g.shobhalatha@yahoo.com

Online published on 24 March, 2014.

Abstract

This paper contains some results on semigroup (S,.) is satisfy the identity xyz = xz for all x,y,z in S. By considering this property we proved that a variant of semigroups (S, a) is left semi regular, left semi normal, normal, left quasi normal, right semi normal, right semi regular.

Keywords

Left semi regular, Left semi normal, Normal, Left quasi normal, Right semi normal, Right semi regular, Variant of semigroups