On Hyper CI-algebras
In this paper, we define the notion of hyper CI-algebras as a generalization of hyper BE-algebras and present some properties. Also, the concepts of a weak hyper filter and a hyper filter over hyper CI-algebras is defined. Moreover, we define the commutative hyper CI-algebra and find the numberof co...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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University of Kashan
2023-03-01
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| Series: | Mathematics Interdisciplinary Research |
| Subjects: | |
| Online Access: | https://mir.kashanu.ac.ir/article_113765_8533d136df34d4084a806da0547d3ddc.pdf |
| _version_ | 1797630823175815168 |
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| author | Somayeh Borhani Nejad Rayeni Akbar Rezaei |
| author_facet | Somayeh Borhani Nejad Rayeni Akbar Rezaei |
| author_sort | Somayeh Borhani Nejad Rayeni |
| collection | DOAJ |
| description | In this paper, we define the notion of hyper CI-algebras as a generalization of hyper BE-algebras and present some properties. Also, the concepts of a weak hyper filter and a hyper filter over hyper CI-algebras is defined. Moreover, we define the commutative hyper CI-algebra and find the numberof commutative hyper CI-algebras of order less than 3. |
| first_indexed | 2024-03-11T11:13:15Z |
| format | Article |
| id | doaj.art-361185c803634a55af67a4757f1c81ca |
| institution | Directory Open Access Journal |
| issn | 2476-4965 |
| language | English |
| last_indexed | 2024-03-11T11:13:15Z |
| publishDate | 2023-03-01 |
| publisher | University of Kashan |
| record_format | Article |
| series | Mathematics Interdisciplinary Research |
| spelling | doaj.art-361185c803634a55af67a4757f1c81ca2023-11-11T10:09:17ZengUniversity of KashanMathematics Interdisciplinary Research2476-49652023-03-0181476310.22052/mir.2022.246510.1359113765On Hyper CI-algebrasSomayeh Borhani Nejad Rayeni0Akbar Rezaei1Department of Mathematics, Payame Noor UniversityDeaprtment of Mathematics, Payame Noor universityIn this paper, we define the notion of hyper CI-algebras as a generalization of hyper BE-algebras and present some properties. Also, the concepts of a weak hyper filter and a hyper filter over hyper CI-algebras is defined. Moreover, we define the commutative hyper CI-algebra and find the numberof commutative hyper CI-algebras of order less than 3.https://mir.kashanu.ac.ir/article_113765_8533d136df34d4084a806da0547d3ddc.pdf(hyper) be/ci-algebra(weak) hyper filtercommutative |
| spellingShingle | Somayeh Borhani Nejad Rayeni Akbar Rezaei On Hyper CI-algebras Mathematics Interdisciplinary Research (hyper) be/ci-algebra (weak) hyper filter commutative |
| title | On Hyper CI-algebras |
| title_full | On Hyper CI-algebras |
| title_fullStr | On Hyper CI-algebras |
| title_full_unstemmed | On Hyper CI-algebras |
| title_short | On Hyper CI-algebras |
| title_sort | on hyper ci algebras |
| topic | (hyper) be/ci-algebra (weak) hyper filter commutative |
| url | https://mir.kashanu.ac.ir/article_113765_8533d136df34d4084a806da0547d3ddc.pdf |
| work_keys_str_mv | AT somayehborhaninejadrayeni onhypercialgebras AT akbarrezaei onhypercialgebras |