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Classes of examples of pseudo-MV algebras, pseudo-BL algebras and divisible bounded non-commutative residuated lattices
Authors:Afrodita Iorgulescu
Affiliation:(1) Department of Computer Science, Academy of Economic Studies, Piaţa Romană Nr.6 - R 70167, Oficiul Poştal 22, Bucharest, Romania
Abstract:We illustrate by classes of examples the close connections existing between pseudo-MV algebras, on the one hand, and pseudo-BL algebras and divisible bounded non-commutative residuated lattices, on the other hand. We use equivalent definitions of these algebras, as particular cases of pseudo-BCK algebras. We analyse the strongness, the pseudo-involutive center and the filters for each example.
Keywords:
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