This article is cited in 4 scientific papers (total in 4 papers)
On closed classes of a $k$-valued logics functions defined by a single endomorphism
S. S. Marchenkov
Lomonosov Moscow State University, Moscow, Russia
The closed classes in $P_k$ defined by a single endomorphism are investigated. It is proved that every such class is positive closed. In the case of nonidentical idempotent endomorphism the corresponding class is positive precomplete in $P_k$. For $k=2,3$ all positive precomplete classes in $P_k$ are defined by the same endomorphisms. All positive submaximal classes in $P_3$ are found. Bibl. 11.
many-valued logic function, endomorphism, positive closed classes.
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S. S. Marchenkov, “On closed classes of a $k$-valued logics functions defined by a single endomorphism”, Diskretn. Anal. Issled. Oper., 16:6 (2009), 52–67
Citation in format AMSBIB
\paper On closed classes of a~$k$-valued logics functions defined by a~single endomorphism
\jour Diskretn. Anal. Issled. Oper.
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Marchenkov S.S., “Operator of Positive Closure”, Dokl. Math., 85:1 (2012), 102–103
S. S. Marchenkov, “Atoms of the lattice of positively closed classes of three-valued logic”, Discrete Math. Appl., 22:2 (2012), 123–137
S. S. Marchenkov, “Definition of positively closed classes by endomorphism semigroups”, Discrete Math. Appl., 22:5-6 (2012), 511–520
S. S. Marchenkov, “Positive closed classes in the three-valued logic”, J. Appl. Industr. Math., 8:2 (2014), 256–266
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