On some properties of the syntactic semigroup of a very pure subsemigroup

Aldo De Luca

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications (1980)

  • Volume: 14, Issue: 1, page 39-56
  • ISSN: 0988-3754

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De Luca, Aldo. "On some properties of the syntactic semigroup of a very pure subsemigroup." RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications 14.1 (1980): 39-56. <http://eudml.org/doc/92115>.

@article{DeLuca1980,
author = {De Luca, Aldo},
journal = {RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications},
keywords = {recognizable subset; very pure subsemigroups; free semigroup; bounded synchronizing delay; syntactic semigroups},
language = {eng},
number = {1},
pages = {39-56},
publisher = {EDP-Sciences},
title = {On some properties of the syntactic semigroup of a very pure subsemigroup},
url = {http://eudml.org/doc/92115},
volume = {14},
year = {1980},
}

TY - JOUR
AU - De Luca, Aldo
TI - On some properties of the syntactic semigroup of a very pure subsemigroup
JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
PY - 1980
PB - EDP-Sciences
VL - 14
IS - 1
SP - 39
EP - 56
LA - eng
KW - recognizable subset; very pure subsemigroups; free semigroup; bounded synchronizing delay; syntactic semigroups
UR - http://eudml.org/doc/92115
ER -

References

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  1. 1. J. A. BRZOZOWSKI and I. SIMON, Characterizations of Locally Testable Events, Discrete Math., Vol. 4, 1973, pp. 243-271. Zbl0255.94032MR319404
  2. 2. A. H. CLIFFORD and G. B. PRESTON, The Algebraic Theory of Semigroups, Amer. Math. Soc., Providence R.I., 1967. Zbl0178.01203MR218472
  3. 3. A. DE LUCA, D. PERRIN, A. RESTIVO and S. TERMINI, Synchronization and Simplification, Discrete Mathematics, Vol. 27, 1979, pp. 297-308. Zbl0417.68059MR541474
  4. 4. A. DE LUCA and A. RESTIVO, On Some Properties of Very Pure Codes, Theoret. Comput. Sc., Vol. 10, 1980, pp.157-170. Zbl0421.68078MR551602
  5. 5. S. EILENBERGAutomata, Languages and Machines, Academic Press, New York-London, Vol. A, 1974, vol. B, 1976. Zbl0359.94067
  6. 6. K. HASHIGUCHI and N. HONDA. Properties of Code Events and Homomorphisms Over Regular Events, J. Comput. System Sc., Vol. 12, 1976, pp. 352-367. Zbl0355.94065MR406734
  7. 7. R. MCNAUGHTON and S. PAPERT, Counter-Free Automata, M.I.T. Press, Cambridge Mass., 1971. Zbl0232.94024MR371538
  8. 8. R. MCNAUGHTON, Algebraic Decision Procedures for Local Testability, Math. Systems theory, Vol. 8, 1974, p. 60-76. Zbl0287.02022MR392544
  9. 9. J. F. PERROT, Informatique et algèbre : la théorie des codes à longueur variable, in Theoret. Comput. Sc., 3rd G.I. Conference, Lectures Notes in Computer Sc., No. 48, 1977, pp. 27-44. Zbl0374.94009MR504335
  10. 10. A. RESTIVO, On a Question of McNaughton and Papert, Information and Control, Vol. 25, 1974, pp. 93-101. Zbl0279.68054MR418537
  11. 11. A. RESTIVO, A Combinatorial Property of Codes Having Finite Synchronization Delay, Theoret. Comput. Sc., Vol. 1, 1975, pp. 95-101. Zbl0381.94017MR414224
  12. 12. M. P. SCHÜTZENBERGER, On an Application of Semigroup Methods to some Problems in Coding, I.R.E. Trans. Information Theory, Vol. I.T. 2, 1956, pp. 47-60. 
  13. 13. M. P. SCHÜTZENBERGER, Une théorie algébrique du codage, Séminaire Dubreil-Pisot (Algèbre et théorie des nombres), exposé No. 15, 1955/ 1956, Paris. 
  14. 14. M. P. SCHÜTZENBERGER, Sur une propriété combinatoire des algèbres de Lie libres pouvant être utilisée dans un problème de mathématique appliquée, Séminaire Dubreil-Pisot (Algèbre et théorie des nombres), exposé No. 1, 1958/ 1959, Paris. 
  15. 15. M. P. SCHÜTZENBERGER, Codes à longueur variable, cours à l'Ecole d'été de l'O.T.A.N. sur les méthodes combinatoires en théorie du codage, Royan, France, 1965, unpublished. 
  16. 16. M. P. SCHÜTZENBERGER, On a Factorization of Free Monoids, Proc. Amer. Math. Soc., Vol. 16, 1965, pp. 21-24. Zbl0219.20039MR170971
  17. 17. Y. ZALCSTEIN, Locally Testable Semigroups, Semigroup Forum, Vol. 5, 1973, pp. 216-227. Zbl0273.20049MR320194

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