| Title: | A Finite type Closure Operations on BCK-algebras |
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| Authors: | Bordbar, Hashem (Author)
Zahedi, Mohammad Mehdi (Mentor) More about this mentor...  |
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| Files: | This document has no files. This document may have a phisical copy in the library of the organization, check the status via COBISS. |
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| Language: | English |
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| Work type: | Not categorized (r6) |
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| Tipology: | 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: | 4, 2 |
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| COBISS_ID: | 5490171 |
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| URN: | URN:SI:UNG:REP:XPQYXM1J |
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| DOI: | 10.18576/amisl/040204 |
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| License: | 
This work is available under this license: Creative Commons Attribution 4.0 International |
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| Views: | 1717 |
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| Downloads: | 0 |
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