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A property of the Schützenberger product

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References

  1. J.C. Birget and J. Rhodes, Almost finite expansions of arbitrary semigroups, J. Pure and Applied Algebra 32 (1984) 239–287.

    Article  MATH  MathSciNet  Google Scholar 

  2. J.A. Brzozowski and J. Simon, Characterizations of locally testable events, Discrete Math. 4 (1973) 243–271.

    Article  MATH  MathSciNet  Google Scholar 

  3. S. Eilenberg, Automata, Languages and Machines, Academic Press, New York, Vol. A (1974), vol. B (1976).

    MATH  Google Scholar 

  4. R. Knast, A semigroup characterization of dot-depth one languages, RAIRO, Inform. Théor. 17, (1983), 321–330.

    MATH  MathSciNet  Google Scholar 

  5. G. Lallement, Semigroups and Combinatorial Applications, Wiley, New-York (1979).

    MATH  Google Scholar 

  6. S.W. Margolis and J.-E. Pin, Free inverse semigroups and Schützenberger products, to appear in the Journal of Algebra.

  7. S.W. Margolis and J.-E. Pin, Product of group-languages, FCT'85 Lecture Notes in Computer Science 199, Springer (1985) 285–299.

  8. D. Perrin, An introduction to finite automata on infinite words, Automata on infinite words, Lecture Notes in Computer Science 192 (1985) 2–17.

    MathSciNet  Google Scholar 

  9. J-E. Pin, Variétés de langages formels, Masson, Paris (1984). Varieties of formal languages North Oxford Londres, Plenum, New York (1986).

    MATH  Google Scholar 

  10. J.-E. Pin, Concatenation hierarchies, decidability results and problems, Proc. Conf. on “Combinatorics on words, Progress and perspectives”, L.J. Cummings ed., Academic Press, Waterloo 1983, 195–228.

    Google Scholar 

  11. J.-E. Pin, Arbres et hiérarchies de concaténation, Lecture Notes in Computer Science 154, Springer, Berlin (1983) 617–628.

    Google Scholar 

  12. J.-E. Pin, Hiérarchies de concaténation, RAIRO Inform. Theor. 18 (1984) 23–46.

    MATH  MathSciNet  Google Scholar 

  13. M.P. Schützenberger, Sur certaines variétés de monoïdes finis, in E.R. Caianiello (ed.) Automata Theory, Academic Press, New York, (1966), 314–319.

    Google Scholar 

  14. H. Straubing, A generalization of the Schützenberger product of finite monoids, Theor. Comput. Sci. 13 (1981) 137–150.

    Article  MATH  MathSciNet  Google Scholar 

  15. H. Straubing, Relational morphisms and operations on recognizable sets, RAIRO Inform. Theor. 15 (1981) 149–159.

    MATH  MathSciNet  Google Scholar 

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Pin, J.E. A property of the Schützenberger product. Semigroup Forum 35, 53–62 (1986). https://doi.org/10.1007/BF02573090

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