Nucleus topology in equality algebras

Articles in Press

Document Type : Research Paper

Authors

1 Faculty of Medicine, Tehran Medical Sciences, Islamic Azad University, Tehran, Iran

2 Department of Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran

3 Hatef Higher Education Institute, Zahedan, Iran

10.48308/cgasa.2026.243407.1601

Abstract

In this paper, we define the concept of nucleus map on equality algebras and study related results. Then, using this concept and upsets, a topology on equality algebras is constructed and it is shown that the equality algebra with this topology becomes a topological space. In addition, some properties of topological space such as compactness and connectedness are investigated. Moreover, we study the continuity of all operations with respect to the topology on equality algebras. 
Finally, the relations between the two topologies in quotient equality algebras are revealed.

Keywords

Main Subjects

References

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Categories and General Algebraic Structures with Applications

Articles in Press, Accepted Manuscript
Available Online from 06 May 2026

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