On the Category of EQ-algebras

Narges Akhlaghinia; Mona Aaly Kologani; Rajab Ali Borzooei; Xiao Long Xin

doi:10.18778/0138-0680.2021.01

Authors

Narges Akhlaghinia Shahid Beheshti University, Department of Mathematics https://orcid.org/0000-0003-4288-5356
Mona Aaly Kologani Shahid Beheshti University, Department of Mathematics https://orcid.org/0000-0002-5234-2876
Rajab Ali Borzooei Shahid Beheshti University, Department of Mathematics https://orcid.org/0000-0001-7538-7885
Xiao Long Xin Northwest University, School of Mathematics https://orcid.org/0000-0002-8495-7322

DOI:

https://doi.org/10.18778/0138-0680.2021.01

Keywords:

EQ-algebras, free EQ-algebras, category theory, universal algebra, variety

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.

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