Naslov: | A Finite type Closure Operations on BCK-algebras |
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Avtorji: | ID Bordbar, Hashem (Avtor) ID Zahedi, Mohammad Mehdi (Mentor) Več o mentorju... |
Datoteke: |
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Jezik: | Angleški jezik |
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Vrsta gradiva: | Delo ni kategorizirano |
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Tipologija: | 1.01 - Izvirni znanstveni članek |
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Organizacija: | UNG - Univerza v Novi Gorici
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Opis: | 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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Ključne besede: | BCI-algebra, BCK-algebra, closure operation, finite type closure operation. |
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Leto izida: | 2016 |
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Št. strani: | 61-69 |
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Številčenje: | 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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Datum objave v RUNG: | 01.12.2019 |
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Število ogledov: | 3483 |
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Število prenosov: | 0 |
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