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Sibirskii Matematicheskii Zhurnal, 2018, Volume 59, Number 3, Pages 587–595
DOI: https://doi.org/10.17377/smzh.2018.59.309 (Mi smj2996) 		 
A computably enumerable partial ordering without computably enumerable maximal chains and antichains

A. S. Morozovab

a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
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DOI: https://doi.org/10.17377/smzh.2018.59.309
Abstract: We construct a computably enumerable partial ordering having neither computably enumerable maximal chains nor computably enumerable maximal antichains.
Keywords: computable order, computably enumerable order, chain, antichain.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00376
The author was supported by the Russian Foundation for Basic Research (Grant 14-01-00376).
Received: 14.04.2016
English version:
Siberian Mathematical Journal, 2018, Volume 59, Issue 3, Pages 463–469
DOI: https://doi.org/10.1134/S0037446618030096
Bibliographic databases:
Document Type: Article
UDC: 510.5
MSC: 35R30
Language: Russian
Citation: A. S. Morozov, “A computably enumerable partial ordering without computably enumerable maximal chains and antichains”, Sibirsk. Mat. Zh., 59:3 (2018), 587–595; Siberian Math. J., 59:3 (2018), 463–469
Citation in format AMSBIB
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    		Сибирский математический журнал Siberian Mathematical Journal
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