Geodesic
Projection representable relations on Menger $(2,n)$-semigroups
Czechoslovak Mathematical Journal, Tome 58 (2008) no. 4, pp. 1015-1037 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Abstract characterizations of relations of nonempty intersection, inclusion end equality of domains for partial $n$-place functions are presented. Representations of Menger $(2,n)$-semigroups by partial $n$-place functions closed with respect to these relations are investigated.
Abstract characterizations of relations of nonempty intersection, inclusion end equality of domains for partial $n$-place functions are presented. Representations of Menger $(2,n)$-semigroups by partial $n$-place functions closed with respect to these relations are investigated.
Classification : 08A55, 08A62, 08N05, 20N15
Keywords: $n$-place function; algebra of functions; Menger algebra; $(2, n)$-semigroup 
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     title = {Projection representable relations on {Menger} $(2,n)$-semigroups},
     journal = {Czechoslovak Mathematical Journal},
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}
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Dudek, Wiesław A.; Trokhimenko, Valentin S. Projection representable relations on Menger $(2,n)$-semigroups. Czechoslovak Mathematical Journal, Tome 58 (2008) no. 4, pp. 1015-1037. http://geodesic.mathdoc.fr/item/CMJ_2008_58_4_a9/

[1] Dudek, W. A., Trokhimenko, V. S.: Functional Menger ${\cal P}$-algebras. Commun. Algebra 30 (2002), 5921-5931. | DOI | MR | Zbl

[2] Dudek, W. A., Trokhimenko, V. S.: Representations of Menger $(2,n)$-semigroups by multiplace functions. Commun. Algebra 34 (2006), 259-274. | DOI | MR | Zbl

[3] Dudek, W. A., Trokhimenko, V. S.: Menger algebras of multiplace functions. Russian Centrul Ed. USM. Khishinev, 2006, ISBN 978-9975-70-621-6. | MR | Zbl

[4] Mann, H. B.: On orthogonal Latin squares. Bull. Amer. Math. Soc. 50 (1944), 249-257. | DOI | MR | Zbl

[5] Novák, V., Novotný, M.: Transitive ternary relations and quasiorderings. Arch. Math. (Brno) 1/2 (1989), 5-12. | MR

[6] Riguet, J.: Relations binaires, fermetures, correspondances de Galois. Bull. Soc. Math. France 76 (1948), 114-155. | DOI | MR | Zbl

[7] Schein, B. M.: A relation of co-definability on semigroups of functions. Russian Ordered sets and lattices 1 (1971), 86-89 (Izdat. Saratov. Gos. Univ.). | MR

[8] Schein, B. M.: Projection partitions of function semigroups. Math. Rep. Acad. Sci., R. Soc. Canada 1 (1979), 67-70. | MR | Zbl

[9] Schein, B. M.: Lectures on semigroups of transformations. Amer. Math. Soc. Translat. 113 (1979), 123-181. | DOI | Zbl

[10] Schein, B. M., Trohimenko, V. S.: Algebras of multiplace functions. Semigroup Forum 17 (1979), 1-64. | DOI | MR | Zbl

[11] Sokhatskij, F. N.: An abstract characterization of $(2,n)$-semigroups of $n$-ary operations. Russian Mat. Issled. 65 (1982), 132-139. | MR

[12] Trokhimenko, V. S.: Ordered algebras of multiplace functions. Russian Izv. Vyssh. Uchebn. Zaved. Matematika 1 (1971), 90-98. | MR

[13] Trokhimenko, V. S.: Abstract characterizations of some algebras of multiplace functions. Russian Izv. Yyssh. Uchebn. Zaved. Matematika 4 (1971), 87-95. | Zbl

[14] Trokhimenko, V. S.: Characterization of the co-definability relation on ordered algebras of multiplace functions. Russian Izv. Vyssh. Uchebn. Zaved. Matematika 9 (1977), 80-88.

[15] Trokhimenko, V. S.: Stationary subsets and stabilizers of restrictive Menger P-algebras of multiplace functions. Algebra Universalis 44 (2000), 129-142. | DOI | MR | Zbl

[16] Yakubov, T.: On $(2,n)$-semigroups of $n$-ary operations. Russian Bull. Akad. Ştiinţa SSR Moldov. 1 (1974), 29-46.