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On complementability of certain generalized hypercenters in Artinian modules

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Abstract

We prove that, in an Artinian module, the upper FC-hypercenter over an infinite FC-hypercentral locally solvable group has a direct complement. Thus, we obtain a generalization of one of Zaitsev’s theorems and one of Duan’s theorems.

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References

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Authors and Affiliations

  1. Dnepropetrovsk University, Dnepropetrovsk

    L. A. Kurdanchenko & B. V. Petrenko

  2. University of California at Los Angeles, Los Angeles, USA

    I. Ya. Subbotin

Authors
  1. L. A. Kurdanchenko
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  2. B. V. Petrenko
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  3. I. Ya. Subbotin
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 11, pp. 1548–1552, November, 1997.

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Kurdanchenko, L.A., Petrenko, B.V. & Subbotin, I.Y. On complementability of certain generalized hypercenters in Artinian modules. Ukr Math J 49, 1742–1746 (1997). https://doi.org/10.1007/BF02487512

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  • DOI: https://doi.org/10.1007/BF02487512

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