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Szendrei, Agnes

On closed classes of quasilinear functions. (English) Zbl 0451.03023

Czech. Math. J. 30(105), 498-509 (1980).
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Cited in 6 Documents

MSC:

03G10 Logical aspects of lattices and related structures
03B50 Many-valued logic

Keywords:

closed classes of quasilinear functions; linear functions over a finite field
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Full Text: DOI EuDML

References:

[1] J. Demetrovics J. Bagyinszki: The lattice of linear classes in prime-valued logics. Banach Center Publications, to appear. · Zbl 0468.03041
[2] J. Demetrovics L. Hannák: The cardinality of closed sets in pre-complete classes in \(k\)-valued logics. Acta Cybernetica, 4 (1979), 273-277. · Zbl 0427.03015
[3] J. Demetrovics L. Hannák: On the cardinality of self-dual closed classes in \(k\)-valued logics. MTA SZTAKI Közlemények, 22 (1979), 7-18.
[4] Г. \Pi . Гаврилов: О мощности множеств ��амкнутых классов конечной высоты в \(P_{\aleph_0}\). Д.А.Н. СССР, 158 (1964), 504-506.
[5] D. Lau: Über die Anzahl von abgeschlossenen Mengen linearer Funktionen der \(n\)-wertigen Logik. EIK, 14 (1978), 567-569. · Zbl 0412.03007
[6] С. С. Марченков: О замкнутых классах автодуалных функций в \(k\)-значных логиках. Проблемы Кибернетики, 36 (1979), 5 - 22. · Zbl 0982.55500
[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
[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.
[9] I. G. Rosenberg: Completeness properties of multiple-valued logic algebras; in: Computer Science and Multiple-valued Logic. Theory and Applications (ed. D. C Rine), North Holland, Amsterdam-New York-Oxford, 1977.
[10] A. A. Salomaa: On infinitely generated sets of operations in finite algebras. Ann. Univ. Turku Ser. A, 74 (1964), 1-12.
[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
[12] Á. Szendrei: On affine modules. Contribution to Universal Algebra. Colloq. Math. Soc. J. Bolyai, vol. 17, 457-464; North Holland (1977).
[13] Á. Szendrei: Idempotent reducts of modules I-II. Universal Algebra. Colloq. Math. Soc. J. Bolyai, vol. 23, to appear. · Zbl 0508.16021
[14] Ю. И. Янов А. А. Мучник: О существовании \(k\)-значных замкнутых классов. не имеющих конечного базиса, ДАН СССР, 127 (1958), 44-46. · Zbl 0198.23702 · doi:10.1007/BF02892499
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