IMI/Publicaţii/BASM/Ediţii/BASM n.1 (23), 1997/

On some lattices of quasivarieties of commutative Moufang's loops. (English)

Authors: Ursu V.


A collection of commutative finite Moufang's loops are constructed such that the unic maximal subquasivariety in the lattice of the subquasivarieties of the quasivariety, generated by an arbitrary loop from this collection is not generated by a finite loop. It was also proved that the set of all quasivarieties each of them generated by a finite commutative Moufang's loop does not formed a sublattice in the lattice of the of loops.

Technical University of Moldova
Stefan cel Mare str. 168, Chisinau, MD-2004 Moldova