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ternary semigroup; mono-n-ary structure; mono-n-ary algebra; category; homomorphism; strong homomorphism; isomorphism

References:

[1] MacLane S.: **Categories for the working mathematician**. Springer, New York - Heidelberg - Berlin 1971. MR 0354798

[2] Monk D., Sioson F. M.: **m-Semigroups, semigroups, and function representation**. Fund. Math. 59 (1966), 233-241. MR 0206133

[3] Novotný M.: **Construction of all strong homomorphisms of binary structures**. Czech. Math. J. 41 (116) (1991), 300-311. MR 1105447

[4] Novotný M.: **Ternary structures and groupoids**. Czech. Math. J. 41 (116) (1991), 90-98. MR 1087627

[5] Novotný M.: **On some correspondences between relational structures and algebras**. Czech. Math. J. 43 (118) (1993), 643-647. MR 1258426

[6] Novotný M.: **Construction of all homomorphisms of groupoids**. presented to Czech. Math. J.

[7] Pultr A., Trnková V.: **Combinatorial, algebraic and topological representations of groups, semigroups and categories**. Academia, Prague 1980. MR 0563525

[8] Sioson F. M.: **Ideal theory in ternary semigroups**. Math. Japon. 10 (1965), 63-84. MR 0193043 | Zbl 0247.20085