IMI/Publicaţii/BASM/Ediţii/BASM n.2 (27), 1998/

Quasivarieties of commutative Moufang loops without independent basis of quasi-identities. (English)

Authors: Ursu V.


We show, in the class of all communicative Moufang loops, that the smallest non-associative quasivariety containing the class of all abelian groups (from an arbitrary non-associative variety $\frak{M}$) has no cover in the lattice of all quasivarieties (of a quasivariety $\frak{N}\subseteq \frak{M}$) and it has no independent basis of quasi-identities (in $\frak{N}$).

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