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Article

Halaš, Radomír ; Hort, Daniel
A characterization of 1-, 2-, 3-, 4-homomorphisms of ordered sets. (English). Czechoslovak Mathematical Journal, vol. 53 (2003), issue 1, pp. 213-221
MSC: 06A05, 06A06, 06A10, 06A99 | MR 1962010 | Zbl 1015.06002
Keywords:
ordered sets; morphisms
Summary:

References:
[1] G. Grätzer: General Lattice Theory. Akademie-Verlag, Berlin, 1978, Russian translation 1982. MR 0504338
[2] R. Halaš: Congruences on posets. Contributions to General Algebra No.  12, Verlag J. Heyn, Klagenfurt, 2000, pp. 195–210. MR 1777659
[3] D.  Hort: A construction of hypergroups from ordered structures and their morphisms. Preprint (1998). MR 2042325
[4] D. Hort, J. Chvalina and J. Moučka: Characterizations of totally ordered sets by their various endomorphisms. Czechoslovak Math. J. 52 (2002), 23–32. MR 1885454
[5] J. Jantosciak: Homomorphisms, equivalences and reductions in hypergroups. Riv. Mat. Pura Appl. 9 (1991), 23–47. MR 1133589 | Zbl 0739.20037
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