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Sibirskii Matematicheskii Zhurnal, 2011, Volume 52, Number 5, Pages 1011–1024 (Mi smj2254)  
This article is cited in 15 scientific papers (total in 15 papers)

Laws of the lattices of partially composition formations

N. N. Vorob'eva, A. N. Skibab, A. A. Tsareva

a Masherov Vitebsk State University, Vitebsk, Belarus
b Francisk Skorina Gomel State University, Gomel, Belarus
Full-text PDF (347 kB) Citations (15)
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Abstract: We prove that every law of the lattice of all formations of finite groups is fulfilled in the lattice of all $n$-multiply $\omega$-composition formations of finite groups for every nonempty set of primes $\omega$ and every natural $n$.
Keywords: finite group, formation of groups, $\omega$-composition satellite of a formation, $n$-multiply $\omega$-composition formation, lattice of formations, law of a lattice, modular lattice, inductive lattice of formations, $\mathfrak X$-separated lattice of formations.
Received: 21.10.2010
English version:
Siberian Mathematical Journal, 2011, Volume 52, Issue 5, Pages 802–812
DOI: https://doi.org/10.1134/S0037446611050053
Bibliographic databases:
Document Type: Article
UDC: 512.552
Language: Russian
Citation: N. N. Vorob'ev, A. N. Skiba, A. A. Tsarev, “Laws of the lattices of partially composition formations”, Sibirsk. Mat. Zh., 52:5 (2011), 1011–1024; Siberian Math. J., 52:5 (2011), 802–812
Citation in format AMSBIB
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    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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