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Title:A Finite type Closure Operations on BCK-algebras
Authors:ID Bordbar, Hashem (Author)
ID Zahedi, Mohammad Mehdi (Mentor) More about this mentor... New window
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Work type:Not categorized
Typology:1.01 - Original Scientific Article
Organization:UNG - University of Nova Gorica
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.
Keywords:BCI-algebra, BCK-algebra, closure operation, finite type closure operation.
Year of publishing:2016
Number of pages:61-69
Numbering:2, 4
PID:20.500.12556/RUNG-4889-75a834e9-521d-d2b3-1c00-815abd16974f New window
COBISS.SI-ID:5490171 New window
DOI:10.18576/amisl/040204 New window
Publication date in RUNG:01.12.2019
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Title:Applied Mathematics & Information Sciences
Year of publishing:2016


License:CC BY 4.0, Creative Commons Attribution 4.0 International
Description:This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.
Licensing start date:01.12.2019