ǂA ǂfinite type of closure operations on BCK-algebras

Hashem Bordbar (Author), Mohammad Mehdi Zahedi (Author)

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;

Data

Language:	English
Year of publishing:	2016
Typology:	1.01 - Original Scientific Article
Organization:	UNG - University of Nova Gorica
UDC:	512
COBISS:	5490171
ISSN:	2373-8944
Views:	2107
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