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Applied Mathematics & Information Sciences Letters
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 
 

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Volumes > Vol. 04 > No. 2

 
   

A Finite Type of Closure Operations on BCK-algebras

PP: 69-77
doi:10.18576/amisl/040204
Author(s)
Hashem Bordbar, Mohammad Mehdi Zahedi,
Abstract
In this article we study the (fi nite-type, cl-closed) closure operations on ideals of a BCK-algebra, with an emphasis on structural properties. Also we give several theorems that make diff erent 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 fi nite 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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