Ordinal sum of equality algebras

Niazian, Sogol; Aaly Kologani, Mona; Borzooei, R. A.

doi:10.22111/ijfs.2025.49931.8822

Document Type : Research Paper

Authors

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

² Hatef Higher Education Institute, Zahedan, Iran

³ Shahid Behesti University

https://doi.org/10.22111/ijfs.2025.49931.8822

Abstract

In this paper, by using the notion of ordinal sum of equality algebras which is defined in [4], we
investigate some related properties and different kinds of filters of it such as prime and maximal. In
addition, by focusing on chain equality algebra, we define the concept of a cut of an equality algebra
and use it to introduce a new ordinal sum of them. By defining a relation relative to a cut, we show
that the family of classes is made a cone algebra. Finally, we prove that every chain equality algebra
can be represented as an ordinal sum of chain cone algebras.

Keywords

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Ordinal sum of equality algebras

References

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Volume 22, Issue 2March and April 2025Pages 41-57

Volume 22, Issue 2
March and April 2025
Pages 41-57