Torkzadeh, Lida; Ahadpanah, Afsaneh Normal filters in residuated lattices. (English) Zbl 1326.03081 Matematiche 70, No. 1, 81-92 (2015). Summary: Residuated lattices play an important role in the study of fuzzy logic. In the present paper, we introduce the notion of a normal filter in a residuated lattice and give some characterizations of them. We state and prove some theorems and examples which determine the relationship between this notion and the other types of filters of a residuated lattice. Finally we investigate the relation between the set of dense elements and normal filters of a residuated lattice. Cited in 1 Document MSC: 03G25 Other algebras related to logic Keywords:residuated lattice; normal filter; prime filter; Boolean filter; fantastic filter; implicative filter; positive implicative filter; obstinate filter; involution filter; MV-filter; G-filter PDFBibTeX XMLCite \textit{L. Torkzadeh} and \textit{A. Ahadpanah}, Matematiche 70, No. 1, 81--92 (2015; Zbl 1326.03081)