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IMI/Publicaţii/QRS/Ediţii/QRS v.15, n.2 (18), 2007/

On finite quasigroups whose subquasigroup lattices are distributive

Authors: K. Pióro

Abstract

We prove that if the subquasigroup lattice of a finite quasigroup Q is distributive, then Q is cyclic (i.e., Q is generated by one element) and also, each of its subquasigroups is also cyclic. Finally, we give examples which show that the inverse implication does not hold.

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