Geodesic
Computable linear orders and the Ershov hierarchy
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2022), pp. 85-89

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This work corrects the inaccuracy of the authors' previous work. Namely, we correctly prove that there exists a computable linear order and a series of natural relations on it, the spectrum of which consist of exactly all $n$-c.e. degrees (for any natural number $n$).
Keywords: computable linear orders, the degree spectrum of relations, $n$-computable enumerable ($n$-c.e.) degrees. 
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     author = {Y. A. Michailovskaya and A. N. Frolov},
     title = {Computable linear orders and the {Ershov} hierarchy},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
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     number = {1},
     year = {2022},
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     url = {http://geodesic.mathdoc.fr/item/IVM_2022_1_a7/}
}
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Y. A. Michailovskaya; A. N. Frolov. Computable linear orders and the Ershov hierarchy. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2022), pp. 85-89. http://geodesic.mathdoc.fr/item/IVM_2022_1_a7/