Some Results On Pseudo CI-Filters

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Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

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.

Language:
English
Published:
Journal of Mathematical Extension, Volume:16 Issue: 6, Jun 2022
Page:
2
https://www.magiran.com/p2372563  
سامانه نویسندگان
  • Borumand Saeid، Arsham
    Author (2)
    Borumand Saeid, Arsham
    Professor Pure Mathematics, Shahid Bahonar University of Kerman, کرمان, Iran
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