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math.CO2026
On Boolean sublattices of finite partition lattices
Foldes Stephan, Sandor Radeleczki
We investigate maximal Boolean sublattices of the partition lattice Part(U) of a finite universe U. First, any largest size Boolean sublattice of Part(U) can be formed using all pa…
math.RA2026
Characterising regular double Stone and pseudocomplemented Kleene algebras in completions of rough sets induced by reflexive relations
Jouni Järvinen, Sándor Radeleczki
We consider Kleene and Stone algebras defined on the completion DM(RS) of the ordered set of rough sets induced by a reflexive relation. We focus on the cases where the completion…