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P-Stable Abelian Groups

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Algebra and Logic Aims and scope

(P, a)-stable and (P, s)-stable Abelian groups are described. It is also proved that every Abelian group is (P, p)-stable. In particular, results due to M. A. Rusaleev [6] and T. A. Nurmagambetov [7] derive from these.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, pr. Akad. Koptyuga 4, Novosibirsk, 630090, Russia

    E. A. Palyutin

  2. Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090, Russia

    E. A. Palyutin

Authors
  1. E. A. Palyutin
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Correspondence to E. A. Palyutin.

Additional information

Supported by RFBR, project No. 12-01-00460.

Translated from Algebra i Logika, Vol. 52, No. 5, pp. 606-631, September-October, 2013.

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Palyutin, E.A. P-Stable Abelian Groups. Algebra Logic 52, 404–421 (2013). https://doi.org/10.1007/s10469-013-9253-6

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  • DOI: https://doi.org/10.1007/s10469-013-9253-6

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