RADICAL OF FILTERS IN RESIDUATED LATTICES
نویسنده
چکیده مقاله:
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 lattices.
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...
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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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عنوان ژورنال
دوره 4 شماره 2
صفحات 111- 121
تاریخ انتشار 2017-01-01
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