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A Computably Enumerable Partial Ordering Without Computably Enumerable Maximal Chains and Antichains

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Abstract

We construct a computably enumerable partial ordering having neither computably enumerable maximal chains nor computably enumerable maximal antichains.

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Correspondence to A. S. Morozov.

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Original Russian Text Copyright © 2018 Morozov A.S.

The author was supported by the Russian Foundation for Basic Research (Grant 14–01–00376).

Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, vol. 59, no. 3, pp. 587–595, May–June, 2018

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Morozov, A.S. A Computably Enumerable Partial Ordering Without Computably Enumerable Maximal Chains and Antichains. Sib Math J 59, 463–469 (2018). https://doi.org/10.1134/S0037446618030096

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  • DOI: https://doi.org/10.1134/S0037446618030096

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