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another view of bz-algebras
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نویسنده
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oner tahsin ,katican tugce ,borumand saeid arsham
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منبع
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journal of algebra and related topics - 2025 - دوره : 13 - شماره : 2 - صفحه:119 -135
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چکیده
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In this work, sheffer stroke bz-algebra (briefly, sbz-algebra) is introduced and its properties are examined. then a partial order is defined on sbz-algebras. it is shown that a cartesian product of two sbz-algebras is an sbz-algebra. after giving sbz-ideals and sbzsubalgebras, it is proved that any sbz-ideal of an sbz-algebra is an ideal of this sbz-algebra andvice versa, and that it is also an sbz-subalgebra. also, a congruence relation on an sbz-algebra is determined by an sbz-ideal, and the quotient of an sbz-algebra by a congruence relation on this algebra is constructed. thus, it is proved that the quotient of the sbz-algebra is an sbzalgebra. furthermore, we define sbz-homomorphisms between sbz-algebras and state that the kernel of an sbz-homomorphism is an sbz-ideal and so an sbz-subalgebra. hence, a new sbz-homomorphism is described by means of the kernel of an sbz-homomorphism. finally, we show that some properties are preserved under sbz-homomorphisms.
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کلیدواژه
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bz-algebra ,sheffer stroke ,congruence ,sbz-homomorphism
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آدرس
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ege university, faculty of science, department of mathematics, turkey, izmir university of economics, department of mathematics, turkey, shahid bahonar university of kerman, faculty of mathematics and computer, department of pure mathematics, iran. saveetha institute of medical and technical sciences(simats), saveetha school of engineering, india
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پست الکترونیکی
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arsham@uk.ac.ir
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Authors
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