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the ring of real-valued functions on a frame
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نویسنده
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karimi feizabadi abolghasem ,estaji ali akbar ,zarghani mohammad
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منبع
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categories and general algebraic structures with applications - 2016 - دوره : 5 - شماره : 1 - صفحه:85 -102
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چکیده
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In this paper, we define and study the notion of the real-valued functions on a frame l . we show that f(l) , consisting of all frame homomorphisms from the power set of r to a frame l, is an f-ring, as a generalization of all functions from a set x into r. also, we show that f(l) is isomorphic to a sub-ff-ring of r(l), the ring of real-valued continuous functions on l. furthermore, for every frame l, there exists a boolean frame bb such that f(l) is a sub-f-ring of f(b) ).
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کلیدواژه
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frame; f-ring; ring of real-valued functions
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آدرس
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islamic azad university, gorgan branch, department of mathematics, ایران, hakim sabzevari university, faculty of mathematics and computer sciences, ایران, hakim sabzevari university, faculty of mathematics and computer sciences, , sabzevar, iran , ایران
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پست الکترونیکی
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zarghanim@yahoo.com
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Authors
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