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on class of subalgebras of bounded bck-algebras
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نویسنده
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harizavi habib
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منبع
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journal of mathematical extension - 2021 - دوره : 15 - شماره : 4 - صفحه:1 -15
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چکیده
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In this paper, for any two elements y, u of a bck-algebra x, we assign a subset of x, denoted by sy(u), and investigate some related properties. we show that sy(u) is a subalgebra of x for all y, u ∈ x. using these subalgebras, we characterize the involutive bck-algebras, and give a necessary and sufficient condition for a bounded bck-algebra to be a commutative bck-chain. finally, we show that the set of all subalgebras sy(u) forms a bounded distributive lattice.
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کلیدواژه
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bck-algebra ,commutative bck-chain ,im-plicative bck-algebra. bounded distributive lattice
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آدرس
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shahid chamran university of ahvaz, faculty of science, department of mathematics, iran
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پست الکترونیکی
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harizavi@scu.ac.ir
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Authors
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