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   some results on pseudo ci-filters  
   
نویسنده shojaei neda ,saeid arsham borumand
منبع journal of mathematical extension - 2022 - دوره : 16 - شماره : 6 - صفحه:1 -25
چکیده    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.
کلیدواژه pseudo ci-algebra ,pseudo ci-filter ,congruence relation ,transitive ci-algebra
آدرس 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
پست الکترونیکی arsham@uk.ac.ir
 
     
   
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