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math.LO2024★ 2 cited
Nelson algebras, residuated lattices and rough sets: A survey
Jouni Järvinen, Sándor Radeleczki, Umberto Rivieccio
Over the past 50 years, Nelson algebras have been extensively studied by distinguished scholars as the algebraic counterpart of Nelson's constructive logic with strong negation. De…
math.LO2018
Involutive right-residuated l-groupoids
Ivan Chajda, Sandor Radeleczki
A common generalization of orthomodular lattices and residuated lattices is provided corresponding to bounded lattices with an involution and sectionally extensive mappings. It tur…
math.LO2018
Prime filter structures of pseudocomplemented Kleene algebras and representation by rough sets
Jouni Järvinen, Sándor Radeleczki
We introduce Kleene-Varlet spaces as partially ordered sets equipped with a polarity satisfying certain additional conditions. By applying Kleene-Varlet spaces, we prove that each…