Fuzzy h-ideals of hemirings

  • Authors:
  • Jianming Zhan;WiesBaw A. Dudek

  • Affiliations:
  • Department of Mathematics, Hubei Institute for Nationalities, Enshi, Hubei Province 445000, PR China;Institute of Mathematics and Computer Science, WrocBaw University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 WrocBaw, Poland

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2007

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Abstract

A characterization of an h-hemiregular hemiring in terms of a fuzzy h-ideal is provided. Some properties of prime fuzzy h-ideals of h-hemiregular hemirings are investigated. It is proved that a fuzzy subset @z of a hemiring S is a prime fuzzy left (right) h-ideal of S if and only if @z is two-valued, @z(0)=1, and the set of all x in S such that @z(x)=1 is a prime (left) right h-ideal of S. Finally, the similar properties for maximal fuzzy left (right) h-ideals of hemirings are considered.