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Pseudo equality algebras: revision - MaRDI portal

Pseudo equality algebras: revision (Q2403325)

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Pseudo equality algebras: revision
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    Pseudo equality algebras: revision (English)
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    8 September 2017
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    A new type of algebras, called JK-algebras, which more precisely reflects the relation to pseudo BCK-algebras with meet in the sense of \textit{J. Kabziński} and \textit{A. Wroński} [``On equivalential algebras'', in: Proceedings of the 1975 international symposium on multiple-valued logic, India University, Bloomington. Fort Belvoir, VA: Defense Technical Infromation Center. 231-- 243 (1975)] is defined and described. Congruences of such algebras are characterized via normal closed deductive systems. Finally, the authors show that the variety of JK-algebras is subtractive and congruence permutable.
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    BCK-algebra
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    pseudo hoop, pseudo BCK-algebra
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    deductive system
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