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Article

Keywords:
homomorphism and isomorphism of ordered sets; ternary semigroup of homomorphisms of ordered sets
Summary:
The paper deals with the characterization of ordered sets by means of ternary semigroups of homomorphisms of ordered sets.
References:
[1] Monk, D., Sioson, F. M.: $m$-Semigroups, semigroups, and function representations. Fund. Math. 59 (1966), 233–241. MR 0206133
[2] Schein, B. M.: Ordered sets, semilattices, distributive lattices and Boolean algebras with homomorphic endomorphism semigroups. Fund. Math 68 (1970), 31–50. MR 0272686 | Zbl 0197.28902
[3] Sioson, F. M.: Ideal theory in ternary semigroups. Math. Japon. 10 (1965), 63–84. MR 0193043 | Zbl 0247.20085
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