Sándor Jenei,
"Equality Algebras"
, in Studia Logica, 2011, ISSN: 1572-8730
Original Titel:
Equality Algebras
Sprache des Titels:
Englisch
Original Kurzfassung:
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 generalization of a result of Kabzin ?ski and Wron ?ski: we provide an equational characterization for the equivalential fragment of BCK-algebras with meet.
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