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radical of filters in residuated lattices
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نویسنده
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motamed s.
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منبع
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journal of algebraic systems - 2017 - دوره : 4 - شماره : 2 - صفحه:111 -121
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چکیده
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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 lattices.
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آدرس
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islamic azad university, bandar abbas branch, department of mathematics, ایران
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پست الکترونیکی
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somayeh.motamed@iauba.ac.ir; s.motamed63@yahoo.com
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Authors
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