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commutative true-false ideals in bci/bck-algebras
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نویسنده
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mohseni takallo mohammad ,borzooei rajab ali ,aaly kologani mona ,jun young bae
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منبع
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journal of algebraic structures and their applications - 2023 - دوره : 10 - شماره : 2 - صفحه:155 -172
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چکیده
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The notion of a (limited) commutative t&f-ideal in bck-algebras and bcialgebras is introduced, and their properties are investigated. a relationship between a t&fideal and a commutative t&f-ideal in bck-algebras and bci-algebras is established, and examples to show that any t&f-ideal may not be commutative are given. proper conditions for a t&f-ideal to be commutative are provided. using a commutative ideal of a bckalgebra and a bci-algebra, a commutative t&f-ideal is established. the closed t&f-ideal in a bci-algebra is introduced, and a condition for a closed t&f-ideal to be commutative is discussed. characterization of a commutative t&f-ideal in a bci-algebra is considered.
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کلیدواژه
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closed t&f-ideal ,(limited) commutative t&f-ideal ,(limited) t&f-ideal ,(limited) t&f-subalgebra ,t&f-◦-subalgebra ,true-false structure
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آدرس
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shahid beheshti university, faculty of mathematical sciences, department of mathematics, iran, shahid beheshti university, faculty of mathematical sciences, department of mathematics, iran, hatef higher education institute, 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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