Open Filters and Congruence Relations on Self-Distributive Weak Heyting Algebras

Open Filters and Congruence Relations on Self-Distributive Weak Heyting Algebras

In this paper, we study (open) filters and deductive systems of self-distributive weak Heyting algebras (SDWH-algebras) and obtain some results which determine the relationship between them. We show that the variety of SDWH-algebras is not weakly regular and every open filter is the kernel of at lea...

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Bibliographic Details
Main Authors: Mohsen Nourany, Shokoofeh Ghorbani, Arsham Borumand Saeid
Format: Article
Language:English
Published: Lodz University Press 2024-06-01
Series:Bulletin of the Section of Logic
Subjects:
sdwh-algebra
open filter
deductive system
congruence kernel
weakly regular
Online Access:https://czasopisma.uni.lodz.pl/bulletin/article/view/22007
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https://czasopisma.uni.lodz.pl/bulletin/article/view/22007

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