منابع مشابه
RADICAL OF FILTERS IN RESIDUATED LATTICES
In this paper, the notion of the radical of a filter in residuated lattices is defined and several characterizations of the radical of a filter are given. We show that if F is a positive implicative filter (or obstinate filter), then Rad(F)=F. We proved the extension theorem for radical of filters in residuated lattices. Also, we study the radical of filters in linearly o...
متن کاملState filters in state residuated lattices
In this paper, we introduce the notions of prime state filters, obstinate state filters, and primary state filters in state residuated lattices and study some properties of them. Several characterizations of these state filters are given and the prime state filter theorem is proved. In addition, we investigate the relations between them.
متن کاملradical of filters in residuated lattices
in this paper, the notion of the radical of a filter in residuated lattices is defined and several characterizations of the radical of a filter are given. we show that if f is a positive implicative filter (or obstinate filter), then rad(f)=f. we proved the extension theorem for radical of filters in residuated lattices. also, we study the radical of filters in linearly o...
متن کاملSemi-G-filters, Stonean filters, MTL-filters, divisible filters, BL-filters and regular filters in residuated lattices
At present, the filter theory of $BL$textit{-}algebras has been widelystudied, and some important results have been published (see for examplecite{4}, cite{5}, cite{xi}, cite{6}, cite{7}). In other works such ascite{BP}, cite{vii}, cite{xiii}, cite{xvi} a study of a filter theory inthe more general setting of residuated lattices is done, generalizing thatfor $BL$textit{-}algebras. Note that fil...
متن کاملFilters of residuated lattices and triangle algebras
An important concept in the theory of residuated lattices and other algebraic structures used for formal fuzzy logic, is that of a filter. Filters can be used, amongst others, to define congruence relations. Specific kinds of filters include Boolean filters and prime filters. In this paper, we define several different filters of residuated lattices and triangle algebras and examine their mutual...
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ژورنال
عنوان ژورنال: Journal of Discrete Mathematics
سال: 2014
ISSN: 2090-9837,2090-9845
DOI: 10.1155/2014/120342