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ultra deductive systems and (nilpotent) boolean elements in hoops
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نویسنده
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borzooei r.a. ,jun y.b. ,aaly m. aaly
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منبع
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journal of algebraic hyperstructures and logical algebras - 2022 - دوره : 3 - شماره : 1 - صفحه:77 -93
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چکیده
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In this paper, first we define the concept of nilpotent element on a hoop h, study some properties of them and investigate the relation with ultra deductive systems. then by using this notion, we introduce cyclic hoops and prove that every cyclic hoop has a unique generator and is a local mv-algebra. in the follows, we introduce the notion of boolean elements on hoops and investigate some of their properties and relation among boolean elements with ultra deductive systems and nilpotent elements. finally, we introduce a functor between the category of hoops and category of boolean elements of them.
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کلیدواژه
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hoop ,ultra deductive system ,nilpotent ,boolean element ,mv-algebra
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آدرس
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shahid beheshti university, faculty of mathematical sciences, department of mathematics, iran, gyeongsang national university, department of mathematics education, south korea, hatef higher education institute, iran
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پست الکترونیکی
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mona4011@gmail.com
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Authors
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