[Ac49] Aczél J.:
Sur les opérations définies pour nombres réels. Bull. Soc. Math. France 76 (1949), 59-64.
MR 0029946
[Ac61] Aczél J.:
Vorlesungen über Funktionalgleichungen und ihre Anwendungen. Birkhäuser Verlag, Basel, 1961.
MR 0124647 |
Zbl 0096.09102
[Ac66] Aczél J.:
Lecture on Functional Equations and Their Applications. Academic Press, New York, 1966.
MR 0208210
[Ac69] Aczél J.:
On Applications and Theory of Functional Equations. Birkhäuser Verlag, Basel, 1969.
MR 0240491 |
Zbl 0176.12801
[AcW80] Aczél J., Wagner C.:
A characterization of weighted arithmetical means. SIAM J. Algebraic Discrete Methods 1 (1980), 256-260.
MR 0586152
[Ba80] Bairamov R. A.: On completeness problem in iterative Post algebras. Special Topics in Algebra and Topology (in Russian) 1 (1980), 1-27.
[Ba81] Bairamov R. A.:
Some new results in the theory of function algebras of finite-valued logics. In: Colloq. Math. Soc. J. Bolyai, 28 (Finite Algebra and Multiple-Valued Logic), North-Holland, Amsterdam, 1981, 41-67.
MR 0648607 |
Zbl 0485.03035
[Bi40] Birkhoff G.:
Lattice Theory. (1st edition), Amer. Math. Soc., Providence, R. I., 1940.
MR 0001959 |
Zbl 0063.00402
[Bi71] Birkhoff G.:
The role of modern algebra in computing. In: Computers in algebra and number theory, SIAM-AMS Proc., IV, Providence, R. I., 1971, 1-47.
MR 0378453 |
Zbl 0241.68003
[Bi82] Birkhoff G.:
Some applications of universal algebra. In: Colloq. Math. Soc. J. Bolyai, 29 (Universal Algebra), North-Holland, Amsterdam, 1982, 107-128.
MR 0660852 |
Zbl 0519.03049
[Ca63] Carlitz L.:
Permutation in finite fields. Acta Sci. Math. (Szeged) 24 (1963), 196-203.
MR 0156838
[Co65] Cohn P. M.:
Universal Algebra. Harper & Row, New York, 1965 (second edition, D. Reidel Publ. Co., Dordrecht, 1981).
MR 0620952 |
Zbl 0141.01002
[DH79] Demetrovics J., Hannák L.:
On the cardinality of self-dual closed classes in k-valued logics. Közl. MTA Számitástech. Automat. Kutató Int., Budapest 23 (1979), 7-17.
MR 0544438
[DHM81] Demetrovics J., Hannák L., Marčenkov S. S.:
On closed classes of self-dual functions in $P_3$. In: Colloq. Math. Soc. J. Bolyai, 28 (Finite Algebra and Multiple-Valued Logic), North-Holland, Amsterdam, 1981, 183-189.
MR 0648615
[DHR83] Demetrovics J., Hannák L., Rónyai L.:
Selfdual classes and automorphism groups. In: Proceedings of the 13th International Symposium on Multiple-Valued Logic (May 23-25, 1983, Kyoto), IEEE Comput. Soc., New York, 1983, 122-125.
Zbl 0559.03041
[DR83] Demetrovics J., Rónyai L.:
On free spectra of clones with sharply transitive automorphism groups. In: Proceedings of the 13th International Symposium on Multiple-Valued Logic (May 23-25, 1983, Kyoto), IEEE Comput. Soc., New York, 1983, 126-128.
MR 0784583 |
Zbl 0559.03042
[DR84] Demetrovics J., Rónyai L.:
On free spectral of self-dual clones. Math. Structures-Comput. Math-Math. Modelling 2 (1984), 136-140.
MR 0790873
[DuP71] Dudek J., Płonka E.:
Weak automorphisms of linear spaces. Colloq. Math. 22 (1971), 201-208.
MR 0280428 |
Zbl 0335.08009
[Ev81] Evans T.:
Some remarks on the general theory of clones. In: Colloq. Math. Soc. J. Bolyai, 28 (Finite Algebra and Multiple-Valued Logic), North-Holland, Amsterdam, 1981, 203-244.
MR 0648617 |
Zbl 0485.08003
[Ev89] Evans T.:
Embedding and representation theorems for clones and varieties. Bull. Austral. Math. Soc. 40 (1989), 199-205.
MR 1012828 |
Zbl 0686.08004
[EvH57] Evans T., Hardy L.:
Sheffer stroke function in many-valued logics. Portugal. Math. 16 (1957), 83-93.
MR 0102478
[Fi31] de Finetti B.:
Sul concetto di media. Giornale di Istituto di Attuarii 2 (1931).
Zbl 0002.27802
[Fo45] Foster A. L.:
The idempotent elements of a commutative ring form a Boolean algebra: Ring-duality and transformation theory. Duke Math. J. 12 (1945), 143-152.
MR 0012264 |
Zbl 0060.06603
[Fo50] Foster A. L.:
On n-ality theories in rings and their logical algebras, including tri-ality principle in three-valued logics. Amer. J. Math. 72 (1950), 101-123.
MR 0033278
[FoB44] Foster A. L. Bernstein B. A.:
Symmetric approach to commutative rings with duality theorem: Boolean duality as special case. Duke Math. J. 11 (1944), 603-616.
MR 0010545
[FoB45] Foster A. L., Bernstein B. A.:
A dual-symmetric definition of fields. Amer. J. Math. 67 (1945), 329-349.
MR 0012275
[Gł81] Głazek K.:
On weak automorphisms of finite fields. In: Colloq. Math. Soc. J. Bolyai, 28 (Finite Algebra and Multiple-Valued Logic), North-Holland, Amsterdam, 1981, 275-300.
MR 0648620 |
Zbl 0487.12012
[Gł90b] Głazek K.: Weak automorphisms and some Galois connection. In: Abstracts of Short Communications, International Congress of Mathematicians, Kyoto (Japan) 1990, 11.
[Gł92] Głazek K.:
On weak automorphisms of some finite algebras. Contemp. Math. 131 (1992), 99-110.
MR 1175875 |
Zbl 0785.08001
[Gł93] Głazek K.:
Morphisms of general algebras without fixed fundamental operations. In: General Algebra and Applications, Heldermann Verlag, Berlin, 1993, 89-112.
MR 1209889 |
Zbl 0793.08006
[Gł94] Głazek K.:
Algebras of Algebraic Operations and Morphisms of Algebraic Systems. Acta Univ. Wratislaviensis 1602, Wyd. Uniw. Wrocławskiego, Wrocław, 1994 (Polish).
MR 1323430 |
Zbl 0817.08001
[Go66] Goetz A.:
On weak isomorphisms and weak homomorphisms of abstract algebras. Colloq. Math. 14 (1966), 163-167.
MR 0184889 |
Zbl 0192.09504
[GoL83] Gorlov V. V., Lau D.:
Über Automorphismen auf Funktionenalgebren. Rostock Math. Kolloq. 23 (1983), 35-42.
MR 0729479 |
Zbl 0528.03037
[HNE64] Hinrichs L. A., Niven I., van den Eynden C. J.:
Fields defined by polynomials. Pacific J. Math. 14 (1964), 537-545.
MR 0162790
[Hs53] Hosszú M.:
On the functional equation of autodistributivity. Publ. Math. (Debrecen) 3 (1953-1954), 83-86.
MR 0062331
[Ho54] Hosszú M.:
Some functional equations related with the associative law. Publ. Math. (Debrecen) 3 (1954), 205-214.
MR 0072147 |
Zbl 0058.10803
[Hu05] Huntington E. V.:
A set of postulates for ordinary complex algebra. Trans. Amer. Math. Soc. 6 (1905), 209-229.
MR 1500708
[KaT79] Kalman D., Turner P.: Algebraic structures with exotic operations. Internat. J. Math. Ed. Sci. Tech. 10 (1979), 173-174.
[Ki34] Kitagawa T.:
On some class of weighted means. Proc. Physico-Math. Soc. of Japan 16 (1934).
Zbl 0009.05806
[Ko30] Kolmogoroff A.: Sur la notion de la moyenne. Atti Accad. Naz. Lincei, Rendiconti (6) 12 (1930), 388-391.
[La79] Lau D.:
Automorphismen auf den maximallen Klassen der k-wertigen Logik. Rostock. Math. Kolloq. 12 (1979), 13-16.
MR 0554690
[Laz55] Lazard M.:
Lois de groupes et analyseurs. Ann. Sci. École Norm. Sup. (3) 72 (1955), 4, 299-400.
MR 0077542 |
Zbl 0068.02702
[Laz75] Lazard M.:
Commutative Formal Groups. Lecture Notes in Math. 443, Springer-Verlag, Berlin, 1975.
MR 0393050 |
Zbl 0304.14027
[Lei72] Leight V.:
Self-dual sets of unary and binary connectives for 3-valued propositional calculus. Z. Math. Logik Grundlag. Math. 18 (1972), 201-204.
MR 0424519
[Lev45] Levit R. J.:
Fields in terms of a single operation. Trans. Amer. Math. Soc. 57 (1945), 426-440.
MR 0012274 |
Zbl 0060.08208
[Ly51] Lyndon R. C:
Identities in two-valued calculi. Trans. Amer. Math. Soc. 71 (1951), 457-465.
MR 0044470 |
Zbl 0044.00201
[Ma66] Mal’cev A. I.:
Iterative algebras and Post’s varieties. Algebra i Logika 5 (1966), 5-24 (in Russian).
MR 0207609
[Ma76] Mal’cev A. I.:
Iterative Post’s algebra. Novosibir. Gos. Univ., Novosibirsk, 1976 (in Russian).
MR 0469754
[Mal72] Mal’cev I. A.:
Congruences and automorphisms on the cells of Post algebras. Algebra i Logika 11 (1972), 315-325 (in Russian).
MR 0327514
[Mar79] Marčenkov S. S.:
Closed classes of self-dual functions of many-valued logic. Problemy Kibernet. 36 (1979), 5-22, 279 (in Russian).
MR 0568444
[Mar82] Marčenkov S. S.:
On the classification of algebras whose automorphisms group is the alternating group. Dokl. Akad. Nauk SSSR 265 (1982), 533-536 (in Russian).
MR 0665319
[MarDH80] Marčenkov S. S., Demitrovics J., Hannák L.:
Closed classes of self-dual functions in $P_3$. Metody Diskret. Analiz. 34 (1980), 38-73 (in Russian).
MR 0625383
[McMT87] McKenzie R. N., McNulty G. F., Taylor W.F.:
Algebras, Lattices, Varieties. Wadsworth and Brooks, Monterey, Cal., v. I, 1987.
Zbl 0611.08001
[Me46] Menger K.:
General algebra of analysis. Repts. Math. Colloq., Notre Dame Univ. 7 (1946), 49-60.
MR 0016743 |
Zbl 0060.06609
[Me61] Menger K.:
The algebra of functions: Past, present, future. Rend. Mat. Appl. 20 (1961), 409-430.
MR 0141618 |
Zbl 0113.03904
[Mi71] Miyakawa M.: Functional completeness and structure of three-valued logic I-Classification of $P_3$. Researches of the Electronical Laboratory 717, Tokyo, Japan, 1971.
[Mu59] Mullin A. A.: Selfdual symmetric switching functions with a certain number of constraints. IRE Trans, EC-(84), Dec. 1959, 498-499.
[Na30] Nagumo M.: Über eine Klasse der Mittelwerte. Japon. J. Math. 7 (1930), 71-79.
[Nö75] Nöbauer W.:
Über die Automorphismen von Kompositionsalgebren. Acta Math. Acad. Sci. Hungar. 26 (1975), 275-278.
MR 0389721 |
Zbl 0321.08003
[Pö85] Pöschel R.:
Cryptomorphisms of non-indexed algebras and relational systems. In: Colloq. Math. Soc. J. Bolyai, 43 (Lectures in Universal Algebra), North-Holland, Amsterdam 1985, 365-404.
MR 0860274
[PöK79] Pöschel R., Kaluznin (Kaloujnine) L. A.:
Funktionen- und Relationen-algebren. Deutscher Verl. d. Wissenschaften, Berlin, 1979.
MR 0543839
[Pos20] Post E. L.: Determination of all closed systems of truth tables. Bull. Amer. Math. Soc. 26 (1920), 437.
[Pos41] Post E. L.:
Two-valued iterative systems of mathematical logic. Princeton Univ. Press, Princeton, 1941.
MR 0004195 |
Zbl 0063.06326
[Ri48] Rickart, C E.:
One-to-one mappings of rings and lattices. Bull. Amer. Math. Soc. 54 (1948), 758-764.
MR 0026039 |
Zbl 0032.24904
[Ro61] Rose A.:
Self-dual binary and ternary connectives for m-valued logic. Math. Ann. 143 (1961), 448-462.
MR 0123471
[Ry49] Ryll-Nardzewski C.:
Sur les moyennes. Studia Math. 11 (1949), 31-37.
MR 0035792
[ScT79] Schein B. M., Trohimenko V. S.:
Algebras of multiplace functions. Semigroup Forum 17 (1979), 1-64.
MR 0521147 |
Zbl 0397.08001
[Se70] Senft J. R.:
On weak automorphisms of universal algebras. Dissertationes Math. (Rozprawy Mat.) 74 (1970), 1-35.
MR 0274377 |
Zbl 0231.08006
[St86] Stojmenović I.:
Classification of a maximal clone of three-valued logical functions. J.Inform. Process. Cybernet. EIK 22 (1986), 533-545.
MR 0908969 |
Zbl 0612.94014
[StM86] Stojmenović I., Miyakawa M.: On symmetric self-dual functions in many-valued logics. (preprint Univ. Novi Sad, Yugoslavia, 1986).
[Sz86] Szendrei Á.:
Clones in Universal Algebra. Les Presses de l’Universite de Montréal, Montréal, 1986.
MR 0859550 |
Zbl 0603.08004
[Vi59] Vincze E.:
Über die Charakterisierung der assoziativen Funktionen von mehreren Veränderlichen. Publ. Math. (Debrecen), 6 (1959), 241-253.
MR 0111952 |
Zbl 0091.11802
[Vi61] Vincze E.:
Verallgemeinerung eines Satzes über assoziative Funktionen von mehreren Veränderlichen. Publ. Math. (Debrecen) 8 (1961), 68-74.
MR 0132941 |
Zbl 0102.11101
[Wh64] Whitlock H. J.:
A composition algebra for multiplace functions. Math. Ann. 157 (1964), 167-178.
MR 0173647 |
Zbl 0126.03501
[Ya58] Yablonskii S. V.:
Functional construction in the k-valued logic. Trudy Mat. Inst. Steklov. 51 (1958), 5-142 (in Russian).
MR 0104578
[YaGK66] Yablonskii S. V., Gavrilov G. P., Kudryavcev V. B.:
Functions of the algebra of logic and Post classes. Izd. Nauka, Moskva, 1966 (in Russian).
MR 0215649
[ZaS58] Zariski O., Samuel P.:
Commutative Algebra. van Nostrand, Princeton, N. J., v. I, 1958.
MR 0090581 |
Zbl 0081.26501