Countability of the set of closed overclasses of some minimal classes in the partly ordered set \(\mathcal{L}_{2}^{3}\) of all closed classes of three-valued logic that can be mapped homomorphically onto two-valued logic

DOI10.3103/S0027132217010065zbMath1423.03071OpenAlexW2603241024MaRDI QIDQ1676293

A. V. Makarov, V. V. Makarov

Publication date: 6 November 2017

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s0027132217010065

Mathematics Subject Classification ID

Many-valued logic (03B50)

Related Items

Cardinality of the continuum of closed superclasses of some minimal classes in the partially ordered set \(\mathcal{L}_2^3\), The set of closed classes \(P_{k+1}\) that can be homomorphically mapped on \(P_k\) has the cardinality of continuum

Cites Work

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• Description of all minimal classes in the partially ordered set \(\mathcal L_2^3\) of closed classes of the three-valued logic that can be homomorphically mapped onto the two-valued logic
• The cardinality of the set of all clones containing a given minimal clone on three elements