Bulletin of Pure and Applied Sciences Section.

  • Year: 2019
  • Volume: 38E
  • Issue: 1

On Prime and Semiprime Intuitionistic Fuzzy k-Ideals of Hemirings

1Department of Mathematics, Dire Dawa Univerisity, Dire Dawa, Ethiopia

*Workneh Agamar, Department of Mathematics, Dire Dawa Univerisity, Dire Dawa, Ethiopia E-mail: worknehagamar@yahoo.com

Abstract

Hemirings are one of the Universal algebras generalizing an associative ring sharing the same properties as a ring except that the second binary operation is assumed to be a semigroup rather than a group. Many researchers made a detailed study on different aspects of hemirings. This paper introduces the notions of prime and semiprime intuitionistic fuzzy left k-ideals of hemirings. We also investigate some of their properties.

Keywords

Hemirings, Fuzzy left k-ideals, Intuitionistic fuzzy left k-ideals, prime intuitionistic fuzzy left k-ideals, semiprime intuitionistic fuzzy left k-ideals, Regular hemiring, 16Y60, 16Z99, 03E72, 20N25