Abstract
We study ternary semigroups as universal algebras with one associative operation. We investigate their algebraic structure and associated representations. Results for congruences of ternary semigroups generated by binary relations are presented.
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REFERENCES
S. Burris H. P. Sankappanavar (1981) A Course in Universal Algebra Springer New York
R. N. McKenzie G. F. McNulty W. F. Taylor (1987) Algebras, Latices, Varieties Wadsworth & Brooks/Cole Monterey
D. Monk and F. M. Sioson, “m-Semigroups, Semigroups, and Function Representations,” Fund. Math., 59, 233–241 (1966).
F. M. Sioson (1965) ArticleTitleIdeal theory in ternary semigroups Math. Jpn. 10 63–84
A. Chronowski (1994) ArticleTitleA ternary semigroup of mappings Demonstr. Math. 27 IssueID3-4 781–791
A. Chronowski (1994) ArticleTitleOn ternary semigroups of homomorphisms of ordered sets Arch. Math. (Brno) 30 IssueID2 85–95
A. Chronowski (1995) ArticleTitleOn some relationships between affine spaces and ternary semigroups of affine mappings Demonstr. Math. 28 IssueID2 315–322
A. Chronowski (1996) ArticleTitleOn ternary semigroups of lattice homomorphisms Quasigroups Related Syst. 3 55–72
A. Chronowski (2001) ArticleTitleTernary semigroups of linear mappings and matrices Ann. Acad. Ped. Cracow. 4. Stud. Math. 1 5–17
A. Chronowski M. Novotný (1995) ArticleTitleInduced isomorphisms of certain ternary semigroups Arch. Math. (Brno) 31 IssueID3 205–216
A.Chronowski and M. Novotný, “Ternary semigroups of morphisms of objects in categories,” Arch. Math. (Brno), No. 2, 147–153 (1995).
A. M. Gasanov (1980) Ternary Semigroups of Topological Mappings of Bounded Open Subsets of a Finite-Dimensional Euclidean Space Elm Baku
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 56, No. 4, pp. 544–559, April, 2004.
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Chronowski, A. Congruences on ternary semigroups. Ukr Math J 56, 662–681 (2004). https://doi.org/10.1007/s11253-005-0099-5
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DOI: https://doi.org/10.1007/s11253-005-0099-5