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Weakly exponential Δ-semigroups

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Abstract

A semigroup whose congruences form a chain with respect to inclusion is called a Δ-semigroup. Schein [8] and Tamura [9] described the commutative Δ-semigroups, Etterbeek [3] characterized the medial Δ-semigroups and Trotter [10] generalized their results for exponential Δ-semigroups.

The purpose of this paper is to extend the examination to obtain a description of weakly exponential Δ-semigroups.

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References

  1. Bonzini, C. and A. Cherubini,On the Putcha Δ-semigroups, Inst. Lombardo Acad. Sci. Lett. Rend. A 114 (1980), 179–194 (Italian).

    MATH  MathSciNet  Google Scholar 

  2. Clifford, A.H. and G.B. Preston,The Algebraic Theory of Semigroups, Amer. Math. Soc., Providence, I(1961), II(1967).

    Google Scholar 

  3. Etterbeek, W.A.,Dissertation, University of California, Davis(1970).

  4. Ljapin, E.S.,Semigroups, Translations of Mathematical Monographs Amer. Math. Soc., Providence, 1974.

    Google Scholar 

  5. Nagy, A.,Weakly exponential semigroups, Semigroup Forum, Vol. 28(1984), 291–302.

    Article  MATH  MathSciNet  Google Scholar 

  6. Nagy, A., WE-msemigroups, Semigroup Forum, Vol. 32(1985), 241–250.

    MATH  MathSciNet  Google Scholar 

  7. Petrich, M.,Introduction to semigroups, Merrill, Columbus Ohio, 1973.

    Google Scholar 

  8. Schein, B.M.,Commutative semigroups where congruences form a chain, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom Phys. 17(1969), 523–527.

    MATH  MathSciNet  Google Scholar 

  9. Tamura, T.,Commutative semigroups whose lattice of congruences is a chain, Bull. Soc. Math. France, 97(1969), 369–380.

    MATH  MathSciNet  Google Scholar 

  10. Trotter, P.G.,Exponential Δ-semigroups, Semigroup Forum, Vol. 12(1976), 313–331.

    Article  MATH  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics Transport Engineering Faculty, Technical University of Budapest, Mügyetem rkp. 9, Budapest, XI., Hungary

    Attila Nagy

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  1. Attila Nagy
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Additional information

Communicated by H.J. Hoehnke

Research supported by Hungarian National Foundation for Scientific Research grant No 1813 October 19.

This paper is based on my talk delivered at the Colloquium on Semigroups organized in Szeged, August 24–28, 1987

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Nagy, A. Weakly exponential Δ-semigroups. Semigroup Forum 40, 297–313 (1990). https://doi.org/10.1007/BF02573275

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  • DOI: https://doi.org/10.1007/BF02573275

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