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 |
. |
Category:
|
math |
. |
MSC:
|
03B50 |
MSC:
|
08A40 |
idZBL:
|
Zbl 0451.03023 |
idMR:
|
MR583629 |
DOI:
|
10.21136/CMJ.1980.101699 |
. |
Date available:
|
2008-06-09T14:40:48Z |
Last updated:
|
2020-07-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101699 |
. |
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 |
. |