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Convex Congruences on BCK-Algebras
1985
Demonstratio Mathematica
Dedicated to the memory of Professor Roman Sikorski Introdaction In this note we shall prove that all thois-3 (and only those) congruence relations on BCK-algebras are convex which keep their factor algebras being again BCK-algebras, and that any convex congruence class V of BCK-algebras has congruence extension property if and only if S(V) is again a convex congruenoe class 5 in particular each variety of BCK-algebras does have congruenoe extension property. An algebra A = (A; •, 0J of type
doi:10.1515/dema-1985-0123
fatcat:6wfo4rubgrgbzg4epyewaxkh4i