On the Category of EQ-algebras

Author:

Akhlaghinia NargesORCID,Aaly Kologani MonaORCID,Borzooei Rajab AliORCID,Xin Xiao LongORCID

Abstract

In this paper, we studied the category of EQ-algebras and showed that it is complete, but it is not cocomplete, in general. We proved that multiplicatively relative EQ-algebras have coequlizers and we calculated coproduct and pushout in a special case. Also, we constructed a free EQ-algebra on a singleton.

Publisher

Uniwersytet Lodzki (University of Lodz)

Subject

Logic,Philosophy

Reference20 articles.

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1. Generalization of filter theory of EQ-algebras based on lattices;Journal of Logic and Computation;2024-09-08

2. \(n\)-Fold Filters of EQ-Algebras;Bulletin of the Section of Logic;2022-10-14

3. Prime preideals on bounded EQ-algebras;Analele Universitatii "Ovidius" Constanta - Seria Matematica;2022-02-01

4. Preideals in EQ-algebras;Soft Computing;2021-08-21

5. Construction of (n-Fold) EQ-Algebras by Using Fuzzy n-Fold Filters;New Mathematics and Natural Computation;2021-04-10

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