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Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics), 2011, Issue 3(8), Pages 61–68
(Mi pfmt114)
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MATHEMATICS
Elements of the height 3 of the lattice of all $\tau$-closed $n$-multiply $\omega$-composition formations
P. A. Zhiznevsky F. Skorina Gomel State University, Gomel
Abstract:
In this paper elements of the height 3 of the lattice $ c^{\tau}_{\omega_n}$ of all $\tau$-closed $n$-multiply $\omega$-composition formations are described. It is proved that if $\mathfrak{F}$ is an element of the height 3 of the lattice $ c^{\tau}_{\omega_n}$, then the lattice of $\tau$-closed $n$-multiply $\omega$-composition subformations of $\mathfrak{F}$ is distributive.
Keywords:
finite group, formation, $\omega$-composition satellite, $\tau$-closed $n$-multiply $\omega$-composition formation, height of formation.
Received: 26.05.2011
Citation:
P. A. Zhiznevsky, “Elements of the height 3 of the lattice of all $\tau$-closed $n$-multiply $\omega$-composition formations”, PFMT, 2011, no. 3(8), 61–68
Linking options:
https://www.mathnet.ru/eng/pfmt114 https://www.mathnet.ru/eng/pfmt/y2011/i3/p61
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Abstract page: | 153 | Full-text PDF : | 69 | References: | 39 |
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