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some results on pseudo ci-filters
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نویسنده
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shojaei neda ,saeid arsham borumand
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منبع
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journal of mathematical extension - 2022 - دوره : 16 - شماره : 6 - صفحه:1 -25
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چکیده
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The aim of this paper is to introduce the notion of pseudo ci-filter in the pseudo ci-algebra and defined of congruence relation, transitive ci-algebra and pseudo ci-filters generated by a set. the maximal pseudo-filter, prime pseudo ci-filter and closed pseudo cifilter are defined, and we show that each maximal pseudo ci-filter is a prime pseudo ci-filter. with an example, it shows that the inverse is not true. define of homomorphism on ci-algebras is another aim of this article, and proves that every homomorphic image and preimage of a pseudo ci-filter is also a pseudo ci-filter. furthermore, there are some relations between prime pseudo ci-filters, maximal pseudo ci-filters and generated pseudo ci-filters. the notion of congruence relations on pseudo ci-algebras is one of the purposes of this article. there are some relations between pseudo ci-filters and pseudo congruence. also, the transitive ci-algebra and generated pseudo ci-filter are introduced.
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کلیدواژه
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pseudo ci-algebra ,pseudo ci-filter ,congruence relation ,transitive ci-algebra
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آدرس
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islamic azad university, kerman branch, faculty of science, department of mathematics, iran, 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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