| Title: | A Finite type Closure Operations on BCK-algebras |
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| Authors: | ID Bordbar, Hashem (Author)
ID Zahedi, Mohammad Mehdi (Mentor) More about this mentor...  |
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| Files: |
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| Language: | English |
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| Work type: | Not categorized |
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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: | In this article we study the (finite-type, cl-closed) closure operations on ideals of a BCK-algebra, with an emphasis on structural properties. Also we give several theorems that make different closure operations, especially on a quotient and Noetherian BCK-algebra. In particular, we show that the intersection and union (by imposing some additional conditions) of closure operations is a closure operation and every closure operation is a finite type on any finitely generated ideal. Moreover by given the notions of residuated quotient ideals and the meet of two ideals, we conclude some related results. |
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| Keywords: | BCI-algebra, BCK-algebra, closure operation, finite type closure operation. |
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| Year of publishing: | 2016 |
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| Number of pages: | 61-69 |
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| Numbering: | 2, 4 |
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| PID: | 20.500.12556/RUNG-4889-75a834e9-521d-d2b3-1c00-815abd16974f |
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| COBISS.SI-ID: | 5490171 |
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| DOI: | 10.18576/amisl/040204 |
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| NUK URN: | URN:SI:UNG:REP:XPQYXM1J |
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| Publication date in RUNG: | 01.12.2019 |
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| Views: | 3487 |
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| Downloads: | 0 |
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