International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2569

Full Length Research Paper

Fuzzy semiprime ideals in Γ-rings

Bayram Ali Ersoy
Yildiz Technical University, Department of mathematics, Davutpasa Kampusu, Esenler, Istanbul, Turkey. 
Email: [email protected]

  •  Accepted: 15 January 2010
  •  Published: 30 April 2010

Abstract

In this paper, T. K. Dutta`s and S. K. Sardar`s semiprime ideal of Γ-rings as a fuzzy semiprime ideal of a Γ-rings via its operator rings was defined. Some characterizations of fuzzy semiprime ideal of Γ-rings was obtained. That is; a characterization prove of a fuzzy semiprime ideal, the relationship between fuzzy semiprime ideal and fuzzy prime ideal was obtained. If  QUOTE  is fuzzy semiprime ideal of a Γ-ring M, then QUOTE   is fuzzy semiprime ideal of L. Similarly, If  QUOTE is fuzzy semiprime ideal of a Γ-ring L left operator semi ring M,  then  QUOTE  is fuzzy semiprime ideal of M, Γ-ring. Lastly, it was deduced that; if  QUOTE is an epimorphism of Γ-ring M, N and  QUOTEis  QUOTE invariant fuzzy semiprime ideal of N(M), then,  QUOTE is fuzzy semiprime ideal of M(N) .

 

Key words: Fuzzy ideal, fuzzy semiprime ideal, left (right) operator ring, Γ-ring.