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neutrosophic n-structures on sheffer stroke be-algebras
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نویسنده
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oner tahsin ,katican tugce ,svanidze salviya ,rezaei akbar
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منبع
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journal of mahani mathematical research - 2022 - دوره : 11 - شماره : 1 - صفحه:117 -139
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چکیده
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In this study, a neutrosophic $mathcal{n}$subalgebra, a (implicative) neutrosophic $mathcal{n}$ filter, level sets of these neutrosophic $mathcal{n}$structures and their properties are introduced on a sheffer stroke bealgebras (briefly, sbealgebras). it is proved that the level set of neutrosophic $mathcal{n}$ subalgebras ((implicative) neutrosophic $mathcal{n}$filter) of this algebra is the sbesubalgebra ((implicative) sbefilter) and vice versa. then we present relationships between upper sets and neutrosophic $mathcal{n}$filters of this algebra. also, it is given that every neutrosophic $mathcal{n}$filter of a sbealgebra is its neutrosophic $mathcal{n}$subalgebra but the inverse is generally not true. we study on neutrosophic $mathcal{n}$filters of sbealgebras by means of sbehomomorphisms, and present relationships between mentioned structures on a sbealgebra in detail. finally, certain subsets of a sbealgebra are determined by means of $mathcal{n}$functions and some properties are examined.
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کلیدواژه
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sbe-algebra ,(implicative) sbe-filter ,neutrosophic n- subalgebra ,(implicative) neutrosophic n-filter
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آدرس
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ege university, department of mathematics, turkey, izmir university of economics, department of mathematics, turkey, ege university, department of mathematics, turkey, payame noor university, department of mathematics, iran
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پست الکترونیکی
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rezaei@pnu.ac.ir
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Authors
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