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;
كليدواژه :
Residuated lattice , filter , fuzzy filter , fuzzy prime filter , fuzzy Boolean filter , fuzzy obstinate filter.
عنوان كنفرانس :
بيست و پنجمين سمينار جبر ايران
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.
