Geodesic
The Property of Having Independent Basis in Semigroup Varieties
Algebra i logika, Tome 44 (2005) no. 1, pp. 81-96

Voir la notice de l'article provenant de la source Math-Net.Ru

There exist independently based semigroup varieties $\mathfrak X$ and $\mathfrak Y$, $\mathfrak X\subset \mathfrak Y$, such that $\mathfrak X$ has no cover in the interval $[\mathfrak X; \mathfrak Y]$.
Keywords: semigroup variety, independently based variety. 
@article{AL_2005_44_1_a5,
     author = {V. Yu. Popov},
     title = {The {Property} of {Having} {Independent} {Basis} in {Semigroup} {Varieties}},
     journal = {Algebra i logika},
     pages = {81--96},
     publisher = {mathdoc},
     volume = {44},
     number = {1},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2005_44_1_a5/}
}
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V. Yu. Popov. The Property of Having Independent Basis in Semigroup Varieties. Algebra i logika, Tome 44 (2005) no. 1, pp. 81-96. http://geodesic.mathdoc.fr/item/AL_2005_44_1_a5/