ON PRIME FUZZY BI-IDEALS OF SEMIGROUPS

Authors

  • Mahwish Bano Department of Mathematics, Air University E-9, PAF Complex, Islamabad, Pakistan
  • Muhammad Shabir Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan
  • Young Bae Jun Department of Mathematics Education and RINS, Gyeongsang National University, Chinju 660-701, Korea
Abstract:

In this paper, we introduce and study the prime, strongly prime,semiprime and irreducible fuzzy bi-ideals of a semigroup. We characterize thosesemigroups for which each fuzzy bi-ideal is semiprime. We also characterizethose semigroups for which each fuzzy bi-ideal is strongly prime.

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Journal title

volume 7  issue 3

pages  115- 128

publication date 2010-10-09

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