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Axiomatizability of free S-posets

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Abstract

In this work, we investigate the partially ordered monoids S over which the class of free (over a poset) S-posets is axiomatizable. Similar questions for S-sets were considered in papers of V. Gould, S. Bulman-Fleming, and A. A. Stepanova.

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Authors and Affiliations

  1. Institute of International Business and Economics, Vladivostok State University of Economics and Service, Vladivostok, Russia

    M. A. Pervukhin

  2. Institute of Mathematics and Computer Science, Far East State University, Vladivostok, Russia

    A. A. Stepanova

Authors
  1. M. A. Pervukhin
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  2. A. A. Stepanova
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Corresponding author

Correspondence to M. A. Pervukhin.

Additional information

Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 15, No. 1, pp. 99–115, 2009.

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Pervukhin, M.A., Stepanova, A.A. Axiomatizability of free S-posets. J Math Sci 166, 756–766 (2010). https://doi.org/10.1007/s10958-010-9891-3

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  • DOI: https://doi.org/10.1007/s10958-010-9891-3

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