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   neutrosophic n-structures on sheffer stroke be-algebras  
   
نویسنده oner tahsin ,katican tugce ,svanidze salviya ,rezaei akbar
منبع journal of mahani mathematical research - 2022 - دوره : 11 - شماره : 1 - صفحه:117 -139
چکیده    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.
کلیدواژه sbe-algebra ,(implicative) sbe-filter ,neutrosophic n- subalgebra ,(implicative) neutrosophic n-filter
آدرس 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
پست الکترونیکی rezaei@pnu.ac.ir
 
     
   
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