On congruence permutable -sets
Attila Nagy (2020)
Commentationes Mathematicae Universitatis Carolinae
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An algebraic structure is said to be congruence permutable if its arbitrary congruences and satisfy the equation , where denotes the usual composition of binary relations. To an arbitrary -set satisfying , we assign a semigroup on the base set containing a zero element , and examine the connection between the congruence permutability of the -set and the semigroup .