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Mathematical logic, algebra and number theory
On representable covers in the lattice of varieties of $m$-groups
N. V. Bayanovaa, A. V. Zenkovb a Altai State University,
pr. Lenina, 61,
656099, Barnaul, Russia
b Altai State Agricultural University,
pr. Krasnoarmeysky, 98,
656049, Barnaul, Russia
Abstract:
In this article we present a full description of all solvable and representable covers of the variety $\mathcal{A}$ of all abelian $m$-groups in the lattice of $m$-varieties.
Keywords:
$m$-group, variety, cover.
Received May 25, 2018, published December 30, 2018
Citation:
N. V. Bayanova, A. V. Zenkov, “On representable covers in the lattice of varieties of $m$-groups”, Sib. Èlektron. Mat. Izv., 15 (2018), 1818–1822
Linking options:
https://www.mathnet.ru/eng/semr1037 https://www.mathnet.ru/eng/semr/v15/p1818
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Abstract page: | 204 | Full-text PDF : | 107 | References: | 26 |
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