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math.GM2016
The lattice of congruence lattices of algebras on a finite set
Danica Jakubíková-Studenovská, Reinhard Pöschel, Sándor Radeleczki
The congruence lattices of all algebras defined on a fixed finite set ordered by inclusion form a finite atomistic lattice . We describe the atoms and coatoms. Each…
math.CO2016★ 16 cited
Representing regular pseudocomplemented Kleene algebras by tolerance-based rough sets
Jouni Järvinen, Sándor Radeleczki
We show that any regular pseudocomplemented Kleene algebra defined on an algebraic lattice is isomorphic to a rough set Kleene algebra determined by a tolerance induced by an irred…