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On weakly special radical of semigroups

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Abstract

The coincidence of the special radical of semigroups and the Baer radical is established. The characterization of semisimple semigroups in the sense of the Baer radical is found.

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References

  1. A. Clifford and G. Preston, Algebraic Theory of Semigroups, Vols. 1, 2, Amer. Math. Soc., Providence (1961).

  2. H.-J. Hoehnke, “Über das untere und obere Radikal einer Halbgruppe,” Math. Z., 89, 300–311 (1965).

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Authors and Affiliations

  1. Belgorod State University, Belgorod, Russia

    A. G. Sokolsky

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  1. A. G. Sokolsky
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Correspondence to A. G. Sokolsky.

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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 14, No. 7, pp. 185–188, 2008.

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Sokolsky, A.G. On weakly special radical of semigroups. J Math Sci 164, 278–280 (2010). https://doi.org/10.1007/s10958-009-9729-z

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  • DOI: https://doi.org/10.1007/s10958-009-9729-z

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