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This article is cited in 7 scientific papers (total in 7 papers)
Clone classification of dually discriminator algebras with finite support
S. S. Marchenkov
M. V. Keldysh Institute for Applied Mathematics, Russian Academy of Sciences
Abstract:
Dually discriminator algebras are considered up to clones generated by the algebra operations. In terms of binary relations, all clones of the operators on a finite set that contain the Pixley dual discriminator are efficiently described. As a consequence, a similar clone classification of quasi-primal algebras with finite support is determined.
DOI:
https://doi.org/10.4213/mzm1510
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Mathematical Notes, 1997, 61:3, 295–300
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UDC:
512.57
Received: 13.12.1994
Citation:
S. S. Marchenkov, “Clone classification of dually discriminator algebras with finite support”, Mat. Zametki, 61:3 (1997), 359–366; Math. Notes, 61:3 (1997), 295–300
Citation in format AMSBIB
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\jour Math. Notes
\yr 1997
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\pages 295--300
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http://mi.mathnet.ru/eng/mz1510https://doi.org/10.4213/mzm1510 http://mi.mathnet.ru/eng/mz/v61/i3/p359
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This publication is cited in the following articles:
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Marchenkov, SS, “A-classification of idempotent functions of many-valued logic”, Discrete Applied Mathematics, 135:1–3 (2004), 183
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S. S. Marchenkov, “Equational closure”, Discrete Math. Appl., 15:3 (2005), 289–298
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J. Appl. Industr. Math., 2:4 (2008), 542–549
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S. S. Marchenkov, “The closure operator in many-valued logic based on functional equations”, J. Appl. Industr. Math., 5:3 (2011), 383–390
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Marchenkov S.S., “Fe-klassifikatsiya funktsii mnogoznachnoi logiki”, Vestnik Moskovskogo universiteta. Seriya 15: Vychislitelnaya matematika i kibernetika, 2 (2011), 32–39
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S. S. Marchenkov, “Closed classed of three-valued logic that contain essentially multiplace functions”, Discrete Math. Appl., 25:4 (2015), 233–240
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N. L. Polyakov, M. V. Shamolin, “Teoremy o reduktsii v teorii kollektivnogo vybora”, Geometriya i mekhanika, Itogi nauki i tekhn. Ser. Sovrem. mat. i ee pril. Temat. obz., 174, VINITI RAN, M., 2020, 46–51
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