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Balanced subsets of the semigroup of partial transformations

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Abstract

For the elements of subsets of the semigroup of partial transformations we study when the sets of commuting and noncommuting elements are of the same cardinality.

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References

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Authors and Affiliations

  1. Voronezh State University Voronezh, Voronezh, Russia

    V. A. Kolmykov

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  1. V. A. Kolmykov
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Correspondence to V. A. Kolmykov.

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Original Russian Text Copyright © 2011 Kolmykov V. A.

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 52, No. 3, pp. 575–581, May–June, 2011.

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Kolmykov, V.A. Balanced subsets of the semigroup of partial transformations. Sib Math J 52, 451–455 (2011). https://doi.org/10.1134/S0037446611030074

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  • DOI: https://doi.org/10.1134/S0037446611030074

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