Properties of algebras of binary functions
Matematičeskie zametki, Tome 55 (1994) no. 1, pp. 130-140.

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V. D. Shmatkov. Properties of algebras of binary functions. Matematičeskie zametki, Tome 55 (1994) no. 1, pp. 130-140. http://geodesic.mathdoc.fr/item/MZM_1994_55_1_a13/

[1] Weisner L., “Abstract theory of inversion of finite series”, Trans. Amer. Soc., 38 (1935), 474–484 | DOI | MR | Zbl

[2] Hall P., “The Fulerian fuction of group”, Quart. J. Math. Oxford Ser., 1936, 134–151 | DOI | Zbl

[3] Ward M., “The algebra of lattice functions”, Duke Math. J., 5 (1939), 357–371 | DOI | MR | Zbl

[4] Rota G.-C., “On the foundations of combinatorial theory. I: Theory of Möbius fuctions”, Z. Wahr. und Verw. Geb., 2 (1964), 340–368 | DOI | MR | Zbl

[5] Stanley R. P., “Structure of incidence algebras and their automorphism groups”, Amer. Math. Soc. Bull., 76 (1970), 1236–1239 | DOI | MR | Zbl

[6] Doubilet P., Rota G.-C., Stanley R., “Onthe foundations of combinatorial theory. VI: The idea of generating function”, Proceedings of the Sixth Berkely Symposium on Mathematical Statistics and Probability, VII, University of California Press, 1972, 267–318 ; Perechislennye zadachi kombinatornogo analiza, ed. G. P. Gavrilov, Mir, M., 1979 | MR | Zbl

[7] Finch P. D., “On the Möbius-function of non singular binary relation”, Bull Austral. Math. Soc., 3 (1970), 155–162 | DOI | MR | Zbl

[8] Tainter M., “Incidence algebras on generalized semigroups”, J. of Combinant Theory, 11 (1971), 170–177 | DOI | MR

[9] Belding W. R., “Incidence rings of preordered sets”, Notre Dame J. Formal Logic, 14:4 (1973)

[10] Nachev N. A., “Koltsa intsindentnosti nad kvaziuporyadochennymi mnozhestvami”, Uch. trudy Plovdivskogo universiteta, 1976

[11] Nachnev N. A., “Koltsa intsindentnosti”, Vestn. MGU. Ser. 1, matematika, mekhanika, 32 (1977), 29–34

[12] Bolshakov V. I., “Koalgebry i algebry intsindentnosti s vesom nad predkategoriyami”, Kombinatornyi analiz, sb. nauchnykh statei, no. 6, MGU, M., 1983, 19–34 | MR

[13] Stechkin B. S., “Binarnye funktsii na uporyadochennykh mnozhestvakh. Teoremy obrascheniya”, Trudy MIAN, 143, Nauka, M., 1977, 178–187 | MR

[14] Stechkin B. S., Ob osnovaniyakh deistvitelnoi Mebius-teorii, Preprint 12M, Institut fiziki im. L. V. Kirenskogo SO AN SSSR, Krasnoyarsk, 1979 | Zbl

[15] Allen H. P., Ferrar J. C., “Weighted incidence coalgebras”, J. of Algebra, 51:1 (1978), 1–11 | DOI | MR | Zbl

[16] Fuks L., Chastichno uporyadochennye algebraicheskie sistemy, Mir, M., 1965

[17] Birkgof G., Teoriya reshetok, Nauka, M., 1984

[18] Ore O., Teoriya grafov, Nauka, M., 1980

[19] Belov V. V., Maslov V. P., Teoriya vozmuschenii kompleksnykh markovskikh tsepei ; Белов В. В., Воробьев Е. М., Шаталов В. Е., Теория графов, Высшая школа, М., 1976 | Zbl