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(m, n)-Ideal characterizations of certain classes of semigroups

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Semigroups

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 855))

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Bibliography

  1. A.H. Clifford and G.B. Preston, The algebraic theory of semigroups, vol.I, 2nd edition, Amer.Math. Soc., Providence, R.I., 1964.

    Google Scholar 

  2. J.M. Howie, An introduction to semigroup theory, Academic Press, London-New York-San Franciso, 1976.

    MATH  Google Scholar 

  3. S. Lajos, Generalized ideals in semigroups, Acta Sci. Math., 22 (1961), 217–222.

    MathSciNet  MATH  Google Scholar 

  4. S. Lajos, On semilattices of groups. Proc. Japan Acad., 45 (1969), 383–384.

    Article  MathSciNet  MATH  Google Scholar 

  5. S. Lajos, A note on semilattices of groups, Acta Sci.Math., 33 (1972) 315–317.

    MathSciNet  MATH  Google Scholar 

  6. S. Lajos, On semigroups that are semilattices of left groups, Mat. Vesnik (Beograd), 11(26), (1974), 125–126.

    MathSciNet  MATH  Google Scholar 

  7. S. Lajos, On the characterization of completely regular semigroups, Math. Japon. (Special Issue) 20 (1975), 33–35

    MathSciNet  MATH  Google Scholar 

  8. S. Lajos, (1,2)-ideal characterizations of unions of groups, Math. Sem. Notes (Kobe Univ.)5(1977),447–450.

    MathSciNet  MATH  Google Scholar 

  9. S. Lajos, Characterizations of completely regular elements in semigroups, Acta Sci. Math., 40 (1978), 297–300.

    MathSciNet  MATH  Google Scholar 

  10. S. Lajos, On the (1,1)-ideal semigroup of a semigroup, K. Marx Univ. Economics, Dept. Math., Budapest, No.9(1978), 12–19

    Google Scholar 

  11. S. Lajos, A characterization of Cliffordian semigroups, Proc. Japan Acad., 52 (1976), 496–497

    Article  MathSciNet  MATH  Google Scholar 

  12. S. Lajos, (m,n)-ideal characterizations of unions of groups, K. Marx Univ. Economics, Dept. Math., Budapest, No.5(1977), 23–25

    Google Scholar 

  13. S. Lajos, Theorems on (1,1)-ideals in semigroups I–II, K.Marx Univ. Economics, Dept. Math., Budapest, 1972; 1974.

    Google Scholar 

  14. S. Lajos and F. Szász, Bi-ideals in associative rings, Acta Sci. Math. 32 (1971), 185–193.

    MathSciNet  MATH  Google Scholar 

  15. S. Lajos and F. Szász, On (m,n)-ideals in associative rings, Publ. Math. (Debrecen) 25(1978), 265–273.

    MathSciNet  MATH  Google Scholar 

  16. S. Lajos and G. Szász, Generalized regularity in semi-groups, K. Marx Univ. Economics, Dept. Math., Budapest, 1975.

    Google Scholar 

  17. S. Lajos and G. Szász, On characterizations of certain classes of semigroups, Publ. Math. (Debrecen) 25 (1978), 225–227.

    MathSciNet  MATH  Google Scholar 

  18. J. Luh, A characterization of regular rings, Proc. Japan Acad., 39 (1963), 741–742.

    Article  MathSciNet  MATH  Google Scholar 

  19. O. Steinfeld, Quasi-ideals in rings and semigroups, Akadémiai Kiadó, Budapest, 1978.

    MATH  Google Scholar 

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Helmut Jürgensen Mario Petrich Hanns Joachim Weinert

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© 1981 Springer-Verlag

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Lajos, S. (1981). (m, n)-Ideal characterizations of certain classes of semigroups. In: Jürgensen, H., Petrich, M., Weinert, H.J. (eds) Semigroups. Lecture Notes in Mathematics, vol 855. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089806

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  • DOI: https://doi.org/10.1007/BFb0089806

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10701-9

  • Online ISBN: 978-3-540-38656-8

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