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Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics), 2011, Issue 3(8), Pages 84–88
(Mi pfmt123)
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This article is cited in 1 scientific paper (total in 1 paper)
MATHEMATICS
On non-distributivity of the lattice of all $n$-multiply $\omega$-composition formations
A. A. Tsarev
P.M. Masherov Vitebsk State University, Vitebsk
Abstract:
Let $n \ge 0$ and $\omega$ be an infinite set of primes. It is proved that the lattice of all $\tau$-closed $n$-multiply $\omega$-composition formations is not distributive.
Keywords:
finite group, formation of groups, $\omega$-composition satellite of formation, non-distributive lattice.
Received: 15.08.2011
Citation:
A. A. Tsarev, “On non-distributivity of the lattice of all $n$-multiply $\omega$-composition formations”, PFMT, 2011, no. 3(8), 84–88
Linking options:
https://www.mathnet.ru/eng/pfmt123 https://www.mathnet.ru/eng/pfmt/y2011/i3/p84
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| Abstract page: | 132 | | Full-text PDF : | 70 | | References: | 25 |
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