| Title: | Interior BCK/BCI-algebras |
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| Authors: | ID Ahn, Sun Shin (Author)
ID Bordbar, Hashem (Author)
ID Jun, Young Bae (Author) |
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| Files: |  https://www.atlantis-press.com/journals/ijcis/125958354
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| Language: | English |
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| Work type: | Unknown |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | UNG - University of Nova Gorica
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| Abstract: | The notions of interior BCK/BCI-algebras, positive implicative interior BCK-algebras, (weak) interior ideals, positive implicative interior ideals, a positive implicative weak interior ideal of type 1, type 2, and type 3 are introduced, and related properties are investigated. A mapping is provided to the set of all involutions of a bounded BCK-algebra in relation to any interior BCKalgebra so that the set of all involutions of a bounded BCK-algebra can be an interior BCK-algebra. The relationship between interior ideals, weak interior ideals, and positive implicative interior ideals is established. The conditions under which a weak interior ideal can change to an interior ideal are founded. The conditions for an interior ideal to be a positive implicative interior ideal are provided. The scalability for a positive implicative interior ideal is discussed. The relationship between type 1, type 2, and type 3 on positive implicative weak interior ideals are investigated. The relationship between weak interior ideal and positive implicative weak interior ideal of type 1, type 2, and type 3 are established. |
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| Keywords: | interior BCK/BCI-algebras, positive implicative interior, BCK-algebras, (weak) interior ideals, positive implicative interior ideals |
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| Year of publishing: | 2021 |
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| Number of pages: | str. 1923-1933 |
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| Numbering: | Vol. 14, no. 1 |
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| PID: | 20.500.12556/RUNG-6654  |
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| COBISS.SI-ID: | 71032067 |
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| UDC: | 51 |
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| ISSN on article: | 1875-6883 |
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| DOI: | 10.2991/ijcis.d.210622.002 |
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| NUK URN: | URN:SI:UNG:REP:FTW3MG8A |
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| Publication date in RUNG: | 21.07.2021 |
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| Views: | 1776 |
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| Downloads: | 45 |
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