Some Results On Pseudo CI-Filters

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SHOJAEI N.; BORUMAND SAEID A.

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Journal Paper

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Journal: JOURNAL OF MATHEMATICAL EXTENSION Year:2022 | Volume:16 | Issue:6 Page(s): 00-00

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Title

Some Results On Pseudo CI-Filters

Author(s)

SHOJAEI N. | BORUMAND SAEID A. | Issue Writer Certificate

Keywords

Pseudo CI-algebra

pseudo CI-filter

congruence relation

transitive CI-algebra

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.

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APA: Copy

SHOJAEI, N., & BORUMAND SAEID, A.. (2022). Some Results On Pseudo CI-Filters. JOURNAL OF MATHEMATICAL EXTENSION, 16(6), 00-00. SID. https://sid.ir/paper/1066183/en

Vancouver: Copy

SHOJAEI N., BORUMAND SAEID A.. Some Results On Pseudo CI-Filters. JOURNAL OF MATHEMATICAL EXTENSION[Internet]. 2022;16(6):00-00. Available from: https://sid.ir/paper/1066183/en

IEEE: Copy

N. SHOJAEI, and A. BORUMAND SAEID, “Some Results On Pseudo CI-Filters,” JOURNAL OF MATHEMATICAL EXTENSION, vol. 16, no. 6, pp. 00–00, 2022, [Online]. Available: https://sid.ir/paper/1066183/en

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