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sheffer stroke r0−algebras
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نویسنده
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katican tugce ,oner tahsin ,borumand saeid arsham
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منبع
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journal of algebraic structures and their applications - 2023 - دوره : 10 - شماره : 2 - صفحه:65 -85
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چکیده
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The main objective of this study is to introduce sheffer stroke r0−algebra (for short, sr0− algebra). then it is stated that the axiom system of a sheffer stroke r0−algebra is independent. it is indicated that every sheffer stroke r0−algebra is r0−algebra but specific conditions are necessarily for the inverse. afterward, various ideals of a sheffer stroke r0−algebra are defined, a congruence relation on a sheffer stroke r0−algebra is determined by the ideal and quotient sheffer stroke r0−algebra is built via this congruence relation. it is proved that quotient sheffer stroke r0−algebra constructed by a prime ideal of this algebra is totally ordered and the cardinality is less than or equals to 2. after all, important conclusions are obtained for totally ordered sheffer stroke r0−algebras by applying various properties of prime ideals.
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کلیدواژه
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congruence relation ,(prime) ideal ,(sheffer stroke) r0−algebra ,sheffer stroke
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آدرس
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izmir university of economics, faculty of arts and sciences, department of mathematics, turkey, ege university, faculty of science, department of mathematics, turkey, shahid bahonar university of kerman, faculty of mathematics and computer, department of pure mathematics, iran
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پست الکترونیکی
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arsham@uk.ac.ir
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Authors
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