Studia Logica 100 (6):1201-1209 (2012)

Abstract
A new structure, called equality algebras, will be introduced. It has two connectives, a meet operation and an equivalence, and a constant. A closure operator will be defined in the class of equality algebras, and we call the closed algebras equivalential. We show that equivalential equality algebras are term equivalent with BCK-algebras with meet. As a by-product, we obtain a quite general result, which is analogous to a result of Kabziński and Wroński: we provide an equational characterization for the equivalential fragment of BCK-algebras with meet
Keywords BCK-algebra with meet  Equivalential fragment  Heyting algebra  Equivalential algebra  Closure operator  Term equivalence  Equational characterization
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DOI 10.1007/s11225-012-9457-0
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Pseudo Equality Algebras.Sándor Jenei & László Kóródi - 2013 - Archive for Mathematical Logic 52 (5-6):469-481.
On Pseudo-Equality Algebras.Lavinia Corina Ciungu - 2014 - Archive for Mathematical Logic 53 (5-6):561-570.
Equality Logic.Shokoofeh Ghorbani - 2020 - Bulletin of the Section of Logic 49 (3):291-324.

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