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On the modularity of a lattice of τ-closed n-multiply ω-composite formations

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Ukrainian Mathematical Journal Aims and scope

Let n ≥ 0, let ω be a nonempty set of prime numbers and let τ be a subgroup functor (in Skiba’s sense) such that all subgroups of any finite group G contained in τ (G) are subnormal in G. It is shown that the lattice of all τ-closed n-multiply ω-composite formations is algebraic and modular.

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Authors and Affiliations

  1. Masherov Vitebsk State University, Vitebsk, Belarus

    N. N. Vorob’ev & A. A. Tsarev

Authors
  1. N. N. Vorob’ev
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  2. A. A. Tsarev
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 62, No. 4, pp. 453–463, April, 2010.

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Vorob’ev, N.N., Tsarev, A.A. On the modularity of a lattice of τ-closed n-multiply ω-composite formations. Ukr Math J 62, 518–529 (2010). https://doi.org/10.1007/s11253-010-0368-9

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  • DOI: https://doi.org/10.1007/s11253-010-0368-9

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