• شماره ركورد كنفرانس
    3934
  • عنوان مقاله

    Fuzzy nil radicals in residuated lattices

  • پديدآورندگان

    Bakhshi Mahmood bakhshi@ub.ac.ir University of Bojnord; , Ghaffari Zahra z.ghaffari70@yahoo.com University of Bojnord;

  • تعداد صفحه
    4
  • كليدواژه
    Residuated lattice , filter , fuzzy filter , fuzzy prime filter , fuzzy Boolean filter , fuzzy obstinate filter.
  • سال انتشار
    1395
  • عنوان كنفرانس
    بيست و پنجمين سمينار جبر ايران
  • زبان مدرك
    انگليسي
  • چكيده فارسي
    In this paper, we introduce the concept of fuzzy nil radical in a residuated lattice and obtain some basic properties. We also prove that if is a fuzzy filter (fuzzy Boolean filter, fuzzy obstinate filter), the fuzzy nil radical of it, is also a fuzzy filter (resp. fuzzy Boolean filter, fuzzy obstinate filter). Furthermore, we characterize the fuzzy nil radical of a fuzzy filter based on its level subsets.
  • كشور
    ايران