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Isotone Extensions and Complete Lattices

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Abstract

The set of necessary and sufficient conditions under which an isotone mapping from a subset of a poset X to a poset Y has an isotone extension to an isotone mapping from X to Y is found.

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Authors and Affiliations

  1. Institute of Applied Mathematics and Mechanics of the NAS of Ukraine, Slavyansk, Ukraine

    Oleksiy Dovgoshey

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  1. Oleksiy Dovgoshey
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Correspondence to Oleksiy Dovgoshey.

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Translated from Ukrains’kiĭ Matematychnyĭ Visnyk, Vol. 16, No. 4, pp. 514–535 October–December, 2019.

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Dovgoshey, O. Isotone Extensions and Complete Lattices. J Math Sci 246, 631–647 (2020). https://doi.org/10.1007/s10958-020-04769-2

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  • DOI: https://doi.org/10.1007/s10958-020-04769-2

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