Rough prime ideals and rough fuzzy prime ideals in semigroups

  • Authors:
  • Qi-Mei Xiao;Zhen-Liang Zhang

  • Affiliations:
  • School of Mathematics and Computer Science, Changsha University of Science and Technology, Changsha, Hunan 410076, PR China and School of Science, Kunming University of Science and Technology, Kun ...;School of Science, Kunming University of Science and Technology, Kunming, Yunnan 650093, PR China

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2006

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Abstract

In this paper, we shall introduce the notions of rough prime ideals and rough fuzzy prime ideals in a semigroup, and give some properties of such ideals. Also, we will discuss the relations between the upper [lower] rough prime ideals and the upper [lower] approximations of their homomorphism images.