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some results on uniform mv-algebras
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نویسنده
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rajabisotudeh farzaneh ,kouhestani nader ,rezaei gholam reza
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منبع
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journal of algebraic structures and their applications - 2023 - دوره : 10 - شماره : 1 - صفحه:95 -112
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چکیده
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In this paper, we study tychonoff spaces and uniformities on mv-algebras. in particular, we find some conditions under which an mv-algebra can be made into a tychonoff space. also, we find uniformities that make an mv-algebra into a uniform mv-algebra. next, we discuss some algebraic and topological properties of uniform mv-algebras. more precisely, we study the existence of closed ideals and closed filters, and examine the way these are related to uniform mv-algebras. furthermore, we obtain some results on the uniform continuity of the operations and its consequences.
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کلیدواژه
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filter ,ideal ,mv-algebra ,tychonoff space ,uniformity
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آدرس
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university of sistan and baluchestan, faculty of mathematics, statistics and computer science, department of mathematics, iran, university of sistan and baluchestan, faculty of mathematics, statistics and computer science, department of mathematics, iran, university of sistan and baluchestan, faculty of mathematics, statistics and computer science, department of mathematics, iran
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پست الکترونیکی
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grezaei@math.usb.ac.ir
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Authors
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