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Topologizability of countable equationally Noetherian algebras

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Algebra and Logic Aims and scope

It is proved that an arbitrary equationally Noetherian countable algebra \( \mathcal{A}=\left\langle {A,{L_A}} \right\rangle \) in a countable language is topologizable. Also it is shown that certain of the known statements on topologizability follow as a consequence.

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Authors and Affiliations

  1. Omsk Branch of Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, ul. Pevtsova 13, Omsk, 644099, Russia

    M. V. Kotov

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  1. M. V. Kotov
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Correspondence to M. V. Kotov.

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Supported by the Russian Ministry of Education and Science, projects No. 14.V37.21.0359 and 0859.

Translated from Algebra i Logika, Vol. 52, No. 2, pp. 155-171, March-April, 2013.

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Kotov, M.V. Topologizability of countable equationally Noetherian algebras. Algebra Logic 52, 105–115 (2013). https://doi.org/10.1007/s10469-013-9226-9

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  • DOI: https://doi.org/10.1007/s10469-013-9226-9

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