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The prime radical of pl-groups

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Abstract

The concept of prime radicals is important in the study of rings and groups. The purpose of this paper is to investigate a generalization of this concept to directed groups. Some results are obtained concerning convex directed subgroups of AO-groups. Prime radicals of pl-groups are described.

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Authors and Affiliations

  1. Moscow State University, Russia

    A. V. Mikhalev

  2. Moscow Pedagogical State University, Russia

    E. E. Shirshova

Authors
  1. A. V. Mikhalev
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  2. E. E. Shirshova
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Correspondence to E. E. Shirshova.

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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 12, No. 2, pp. 193–199, 2006.

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Mikhalev, A.V., Shirshova, E.E. The prime radical of pl-groups. J Math Sci 149, 1170–1175 (2008). https://doi.org/10.1007/s10958-008-0055-7

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  • DOI: https://doi.org/10.1007/s10958-008-0055-7

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