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Congruences on ternary semigroups

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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

  1. S. Burris H. P. Sankappanavar (1981) A Course in Universal Algebra Springer New York

    Google Scholar 

  2. R. N. McKenzie G. F. McNulty W. F. Taylor (1987) Algebras, Latices, Varieties Wadsworth & Brooks/Cole Monterey

    Google Scholar 

  3. D. Monk and F. M. Sioson, “m-Semigroups, Semigroups, and Function Representations,” Fund. Math., 59, 233–241 (1966).

    Google Scholar 

  4. F. M. Sioson (1965) ArticleTitleIdeal theory in ternary semigroups Math. Jpn. 10 63–84

    Google Scholar 

  5. A. Chronowski (1994) ArticleTitleA ternary semigroup of mappings Demonstr. Math. 27 IssueID3-4 781–791

    Google Scholar 

  6. A. Chronowski (1994) ArticleTitleOn ternary semigroups of homomorphisms of ordered sets Arch. Math. (Brno) 30 IssueID2 85–95

    Google Scholar 

  7. A. Chronowski (1995) ArticleTitleOn some relationships between affine spaces and ternary semigroups of affine mappings Demonstr. Math. 28 IssueID2 315–322

    Google Scholar 

  8. A. Chronowski (1996) ArticleTitleOn ternary semigroups of lattice homomorphisms Quasigroups Related Syst. 3 55–72

    Google Scholar 

  9. A. Chronowski (2001) ArticleTitleTernary semigroups of linear mappings and matrices Ann. Acad. Ped. Cracow. 4. Stud. Math. 1 5–17

    Google Scholar 

  10. A. Chronowski M. Novotný (1995) ArticleTitleInduced isomorphisms of certain ternary semigroups Arch. Math. (Brno) 31 IssueID3 205–216

    Google Scholar 

  11. A.Chronowski and M. Novotný, “Ternary semigroups of morphisms of objects in categories,” Arch. Math. (Brno), No. 2, 147–153 (1995).

  12. A. M. Gasanov (1980) Ternary Semigroups of Topological Mappings of Bounded Open Subsets of a Finite-Dimensional Euclidean Space Elm Baku

    Google Scholar 

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Authors and Affiliations

  1. Institute of Mathematics, Kraków Pedagogic Academy, Kraków, Poland

    A. Chronowski

  2. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev, Ukraine

    A. Chronowski

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  1. A. Chronowski
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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

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