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Mathematics of the USSR-Sbornik, 1981, Volume 38, Issue 4, Pages 507–532
DOI: https://doi.org/10.1070/SM1981v038n04ABEH001457 (Mi sm2510) 		 
A sufficient condition for closed classes of $k$-valued logic to have only trivial congruences

V. V. Gorlov
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DOI: https://doi.org/10.1070/SM1981v038n04ABEH001457
Abstract: In this paper the author obtains a classification of $M$-classes of closed classes of $k$-valued logic that are minimal (with respect to inclusion) relative to the property “all superclasses have only trivial congruences”, and an algorithm for constructing $M$-classes is proposed. On the basis of a description of $M$-classes, a sufficient condition is obtained for triviality of congruences of closed classes of $k$-valued logic.
Bibliography: 11 titles.
Received: 16.02.1979
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1979, Volume 110(152), Number 4(12), Pages 551–578
Bibliographic databases:
UDC: 517.1
MSC: Primary 03G20, 03B50; Secondary 03F65, 08A30
Language: English
Original paper language: Russian
Citation: V. V. Gorlov, “A sufficient condition for closed classes of $k$-valued logic to have only trivial congruences”, Mat. Sb. (N.S.), 110(152):4(12) (1979), 551–578; Math. USSR-Sb., 38:4 (1981), 507–532
Citation in format AMSBIB
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\by V.~V.~Gorlov
\paper A~sufficient condition for closed classes of $k$-valued logic to have only trivial congruences
\jour Mat. Sb. (N.S.)
\yr 1979
\vol 110(152)
\issue 4(12)
\pages 551--578
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=562209}
\zmath{https://zbmath.org/?q=an:0459.03011|0434.03019}
\transl
\jour Math. USSR-Sb.
\yr 1981
\vol 38
\issue 4
\pages 507--532
\crossref{https://doi.org/10.1070/SM1981v038n04ABEH001457}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1981LQ11400005}
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  • https://doi.org/10.1070/SM1981v038n04ABEH001457
  • https://www.mathnet.ru/eng/sm/v152/i4/p551
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    Abstract page:231
    Russian version PDF:87
    English version PDF:8
    References:31
     
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