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Article

Title: On closed classes of quasilinear functions (English)
Author: Szendrei, Ágnes
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 30
Issue: 3
Year: 1980
Pages: 498-509
Summary lang: Russian
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Category: math
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MSC: 03B50
MSC: 08A40
idZBL: Zbl 0451.03023
idMR: MR583629
DOI: 10.21136/CMJ.1980.101699
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Date available: 2008-06-09T14:40:48Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/101699
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Reference: [1] J. Demetrovics J. Bagyinszki: The lattice of linear classes in prime-valued logics.Banach Center Publications, to appear. MR 0698101
Reference: [2] J. Demetrovics L. Hannák: The cardinality of closed sets in pre-complete classes in $k$-valued logics.Acta Cybernetica, 4 (1979), 273-277. MR 0550786
Reference: [3] J. Demetrovics L. Hannák: On the cardinality of self-dual closed classes in $k$-valued logics.MTA SZTAKI Közlemények, 22 (1979), 7-18. MR 0544438
Reference: [4] Г. Π. Гаврилов: О мощности множеств замкнутых классов конечной высоты в $P_{\aleph_0}$.Д.А.Н. СССР, 158 (1964), 504-506.
Reference: [5] D. Lau: Über die Anzahl von abgeschlossenen Mengen linearer Funktionen der $n$-wertigen Logik.EIK, 14 (1978), 567-569. Zbl 0412.03007, MR 0524955
Reference: [6] С. С. Марченков: О замкнутых классах автодуалных функций в $k$-значных логиках.Проблемы Кибернетики, 36 (1979), 5 - 22. Zbl 0982.55500
Reference: [7] I. G. Rosenberg: La structure des fonctions de plusieurs variables sur un ensemble fini.C. R. Acad. Sci. Paris Ser A, 260 (1965), 3817-19. Zbl 0144.01002, MR 0176917
Reference: [8] I. G. Rosenberg: Über die funktionale Vollständigkeit in dem mehrwertigen Logiken (Struktur der Funktionen von mehreren Veränderlichen auf endlichen Mengen).Rozpravy Čs. Akademie Věd. Ser. Math. Nat. Sci., 80 (1970), 3-93.
Reference: [9] I. G. Rosenberg: Completeness properties of multiple-valued logic algebras; in: Computer Science and Multiple-valued Logic.Theory and Applications (ed. D. С Rine), North Holland, Amsterdam-New York-Oxford, 1977. MR 0453489
Reference: [10] A. A. Salomaa: On infinitely generated sets of operations in finite algebras.Ann. Univ. Turku Ser. A, 74 (1964), 1-12. MR 0169781
Reference: [11] A. A. Salomaa: On the heights of closed sets of operations in finite algebras.Ann. Acad. Sci. Fenn. Ser. A, 363 (1965), 1-12. Zbl 0137.24810, MR 0179117
Reference: [12] Á. Szendrei: On affine modules, in: Contribution to Universal Algebra.Colloq. Math. Soc. J. Bolyai, vol. 17, 457-464; North Holland (1977). MR 0472924
Reference: [13] Á. Szendrei: Idempotent reducts of modules I-II, in: Universal Algebra.Colloq. Math. Soc. J. Bolyai, vol. 23, to appear. MR 0660909
Reference: [14] Ю. И. Янов A. A. Мучник: О существовании $k$-значных замкнутых классов.не имеющих конечного базиса, ДАН СССР, 127 (1958), 44-46. Zbl 0198.23702
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