Chajda, Ivan Homomorphisms of directed posets. (English) Zbl 1159.06002 Asian-Eur. J. Math. 1, No. 1, 45-51 (2008). In the paper homomorphisms and congruences of directed posets are investigated. The concept of homomorphism modifies the notion of III-homomorphism introduced and studied by K. P. Shum, P. Zhu and N. Kehayopulu [Discrete Math. 308, No. 21, 5006–5013 (2008; Zbl 1148.06001)]. The author’s approach relies on the fact that every directed poset can be converted into a so-called commutative directoid, an algebra with one binary operation. Poset homomorphisms are naturally chosen to be just homomorphisms of the corresponding directoids. Reviewer: Radomír Halaš (Prostejov) Cited in 2 Documents MSC: 06A06 Partial orders, general 06A12 Semilattices 06B10 Lattice ideals, congruence relations Keywords:directed poset; \(\delta\)-homomorphism; SL-homomorphism; directoid; congruence; semilattice Citations:Zbl 1148.06001 PDF BibTeX XML Cite \textit{I. Chajda}, Asian-Eur. J. Math. 1, No. 1, 45--51 (2008; Zbl 1159.06002) Full Text: DOI References: [1] Chajda I., Math. Bohem. 123 pp 95– [2] DOI: 10.1023/A:1022944013075 · Zbl 1015.06002 [3] DOI: 10.1007/BF01190253 · Zbl 0699.08002 [4] Kolibiar M., Acta Sci. Math. (Szeged) 51 pp 129– [5] Körtesi P., Math. Panonica 16 pp 39– This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.