Classes of examples of pseudo-MV algebras, pseudo-BL algebras and divisible bounded non-commutative residuated lattices |
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Authors: | Afrodita Iorgulescu |
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Affiliation: | (1) Department of Computer Science, Academy of Economic Studies, Piaţa Romană Nr.6 - R 70167, Oficiul Poştal 22, Bucharest, Romania |
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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. |
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Keywords: | |
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