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Bulletin of Pure and Applied Sciences- Math& Stat. (Started in 1982)
eISSN: 2320-3226
pISSN: 0970-6577
Impact Factor: 4.895 (2017)
DOI: 10.5958/2320-3226
Editor-in-Chief:  Prof. Dr. Lalit Mohan Upadhyaya
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Article Details

Bulletin of Pure and Applied Sciences- Math& Stat. (Started in 1982)
Year : 2019, Volume & Issue : BPAS-Maths & Stat 38E(1), JAN-JUN 2019
Page No. : 17-24, Article Type : Original Aticle
Article DOI : 10.5958/2320-3226.2019.00002.X (Received on 08.08.2018, Revised on 22.11.2018, Accepted on 24.12.2018)

ON PRIME AND SEMIPRIME INTUITIONISTIC FUZZY k-IDEALS OF HEMIRINGS

Workneh Agamar*
Author’s Affiliation : Department of Mathematics, Dire Dawa Univerisity, Dire Dawa, Ethiopia

Corresponding Author : Workneh Agamar, Department of Mathematics, Dire Dawa Univerisity, Dire Dawa, Ethiopia,
E-Mail:-[email protected]


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.

2010 AMS Mathematics Subject Classification: 16Y60, 16Z99, 03E72, 20N25

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.
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