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
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| Keywords | BCK-algebra with meet Equivalential fragment Heyting algebra Equivalential algebra Closure operator Term equivalence Equational characterization |
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| ISBN(s) | |
| DOI | 10.1007/s11225-012-9457-0 |
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Citations of this work BETA
L -Hemi-Implicative Semilattices.José Luis Castiglioni & Hernán Javier San Martín - 2018 - Studia Logica 106 (4):675-690.
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.
On Categorical Equivalences of Equality Algebras and Monadic Equality Algebras.Hongxing Liu - 2019 - Logic Journal of the IGPL 27 (3):267-280.
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