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HOOPS WITH QUASI-VALUATION MAPS
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نویسنده
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aaly kologani mona ,rezaei gholam-reza ,borzooei rajab-ali ,jun young bae
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منبع
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journal of algebraic systems - 2021 - دوره : 8 - شماره : 2 - صفحه:251 -268
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چکیده
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Based on subalgebras and filters in hoops, the notions of s-quasi-valuation maps and f-quasi-valuation maps are introduced, and related properties are investigated. relations between s-quasi-valuation maps and f-quasi-valuation maps are discussed. using f-quasi-valuation map, a (pseudo) metric space is introduced, and we show that the operations “⊙”, “!” and “^” in a hoop are uniformly continuous.
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کلیدواژه
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Hoop ,quasi-valuation map ,S⊙-quasi-valuation map ,S!-quasi-valuation map ,F-quasi-valuation map ,(pseudo) metric space.
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آدرس
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hatef higher education institute, Iran, university of sistan and baluchestan, department of mathematics, Iran, shahid beheshti university, department of mathematics, Iran, gyeongsang national university, department of mathematics, education,, south Korea
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پست الکترونیکی
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skywine@gmail.com
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Authors
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