Geodesic
Infinite distributivity in the lattice of varieties of $m$-groups
Algebra i logika, Tome 54 (2015) no. 1, pp. 3-15.

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We construct an example showing that in the lattice of varieties of $m$-groups, the equality $\mathcal V\left(\bigvee_i\mathcal U_i\right)=\bigvee_i(\mathcal{VU}_i)$ does not always hold for an infinite set of indices.
Keywords: infinite distributivity, lattice of varieties of $m$-groups. 
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N. V. Bayanova; A. V. Zenkov. Infinite distributivity in the lattice of varieties of $m$-groups. Algebra i logika, Tome 54 (2015) no. 1, pp. 3-15. http://geodesic.mathdoc.fr/item/AL_2015_54_1_a0/

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