English, Article edition: FUZZY PRIME AND SEMIPRIME S-SUBACTS OVER MONOIDS J. AHSAN; K. SAIFULLAH; M. SHABIR

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Physical Description
  • article
Language
  • English

Edition details

Title
  • FUZZY PRIME AND SEMIPRIME S-SUBACTS OVER MONOIDS
Author
  • J. AHSAN
  • K. SAIFULLAH
  • M. SHABIR
Physical Description
  • article
Notes
  • In this paper, we introduce the notions of fuzzy prime and fuzzy semiprime S-subacts, where S is a monoid with a zero and S-acts are representations of S. We establish their basic properties and prove some fundamental results in a fuzzy context, analogous to the results in ordinary semigroups and S-acts. It is shown, among other results, that if a fuzzy right S-subact is fuzzy irreducible, then the difference between fuzzy prime and fuzzy semiprime disappears.
  • Fuzzy S-subacts, fuzzy irreducible ideals, fuzzy irreducible S-subacts, fuzzy annihilator, fuzzy prime and fuzzy semiprime S-subacts
  • RePEc:wsi:nmncxx:v:03:y:2007:i:01:p:41-55
Language
  • English
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