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  1. Twist Structures and Nelson Conuclei.Manuela Busaniche, Nikolaos Galatos & Miguel Andrés Marcos - 2022 - Studia Logica 110 (4):949-987.
    Motivated by Kalman residuated lattices, Nelson residuated lattices and Nelson paraconsistent residuated lattices, we provide a natural common generalization of them. Nelson conucleus algebras unify these examples and further extend them to the non-commutative setting. We study their structure, establish a representation theorem for them in terms of twist structures and conuclei that results in a categorical adjunction, and explore situations where the representation is actually an isomorphism. In the latter case, the adjunction is elevated to a categorical equivalence. By (...)
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