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 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 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 ordered residuated l...
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ژورنال
عنوان ژورنال: Categories and General Algebraic Structures with Application
سال: 2018
ISSN: 2345-5853,2345-5861
DOI: 10.29252/cgasa.10.1.17