Abstract
We prove that linear orderings are primitively recursively categorical over a class of structures KΣ if and only if they contain only finitely many successivities.
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The author was supported by the Russian Foundation for Basic Research (Grant 17-01-00247).
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Translated from Sibirskii Matematicheskii Zhurnal, vol. 60, no. 1, pp. 28–36, January–February, 2019; DOI: 10.17377/smzh.2019.60.103.
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Blinov, K.V. Primitively Recursively Categorical Linear Orderings. Sib Math J 60, 20–26 (2019). https://doi.org/10.1134/S0037446619010038
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DOI: https://doi.org/10.1134/S0037446619010038