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This article is cited in 1 scientific paper (total in 1 paper)
Infinite distributivity in the lattice of varieties of $m$-groups
N. V. Bayanovaa, A. V. Zenkovb a Altai State University, pr. Lenina 61, Barnaul, 656049, Russia
b Altai State Agricultural University, pr. Krasnoarmeiskii 98, Barnaul, 656049, Russia
Abstract:
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.
Received: 02.02.2014
Citation:
N. V. Bayanova, A. V. Zenkov, “Infinite distributivity in the lattice of varieties of $m$-groups”, Algebra Logika, 54:1 (2015), 3–15; Algebra and Logic, 54:1 (2015), 1–9
Linking options:
https://www.mathnet.ru/eng/al671 https://www.mathnet.ru/eng/al/v54/i1/p3
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