Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2020, Number 1, Pages 69–70 (Mi vmumm4306)  
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The set of closed classes $P_{k+1}$ that can be homomorphically mapped on $P_k$ has the cardinality of continuum

L. Yu. Devyatkin

Institute of Philosophy, Russian Academy of Sciences, Moscow
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Abstract: We prove that the partially ordered set $\mathcal{L}^{k+1}_{k}$ of all closed classes of $(k+1)$-valued logic which can be homomorphically mapped onto $k$-valued logic has the cardinality of continuum.
Key words: many-valued logic, closed class, homomorphism, generating set.
Received: 20.02.2019
English version:
Moscow University Mathematics Bulletin, 2020, Volume 75, Issue 1, Pages 47–48
DOI: https://doi.org/10.3103/S0027132220010088
Bibliographic databases:
Document Type: Article
UDC: 519.716.32
Language: Russian
Citation: L. Yu. Devyatkin, “The set of closed classes $P_{k+1}$ that can be homomorphically mapped on $P_k$ has the cardinality of continuum”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2020, no. 1, 69–70; Moscow University Mathematics Bulletin, 75:1 (2020), 47–48
Citation in format AMSBIB
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    Full-text PDF :20
    References:12
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