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Title:A Finite type Closure Operations on BCK-algebras
Authors:Bordbar, Hashem (Author)
Zahedi, Mohammad Mehdi (Mentor) More about this mentor... New window
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Work type:Not categorized (r6)
Tipology: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:4, 2
COBISS_ID:5490171 Link is opened in a new window
DOI:10.18576/amisl/040204 Link is opened in a new window
License:CC BY 4.0
This work is available under this license: Creative Commons Attribution 4.0 International
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Title:Applied Mathematics & Information Sciences
Year of publishing:2016