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Laws of the lattices of partially composition formations

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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 ω-composition formations of finite groups for every nonempty set of primes ω and every natural n.

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Authors and Affiliations

  1. Masherov Vitebsk State University, Vitebsk, Belarus

    N. N. Vorob’ev & A. A. Tsarev

  2. Francisk Skorina Gomel State University, Gomel, Belarus

    A. N. Skiba

Authors
  1. N. N. Vorob’ev
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  2. A. N. Skiba
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  3. A. A. Tsarev
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Corresponding author

Correspondence to N. N. Vorob’ev.

Additional information

Dedicated to Professor K. P. Shum on the occasion of his 70th birthday.

Original Russian Text Copyright © 2011 Vorob’ev N. N., Skiba A. N., and Tsarev A. A.

The first two authors were partially supported by the Belarussian Republic Foundation of Fundamental Researches (BRFFI, grant F10R-231).

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 52, No. 5, pp. 1011–1024, September–October, 2011.

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Vorob’ev, N.N., Skiba, A.N. & Tsarev, A.A. Laws of the lattices of partially composition formations. Sib Math J 52, 802–812 (2011). https://doi.org/10.1134/S0037446611050053

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