The closure under division and a characterization of the recognizable 𝒵-subsets
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 30 (1996) no. 3, pp. 209-230. 
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     author = {Kobayashi, Nami},
     title = {The closure under division and a characterization of the recognizable $\mathcal {Z}$-subsets},
     journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
     pages = {209--230},
     publisher = {EDP-Sciences},
     volume = {30},
     number = {3},
     year = {1996},
     mrnumber = {1415829},
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     url = {http://archive.numdam.org/item/ITA_1996__30_3_209_0/}
}
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Kobayashi, Nami. The closure under division and a characterization of the recognizable $\mathcal {Z}$-subsets. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 30 (1996) no. 3, pp. 209-230. http://archive.numdam.org/item/ITA_1996__30_3_209_0/

1. J. Berstel and C. Reutenauer, Les Séries Rationnelles et Leurs Langages, Masson, Paris, 1984. | MR | Zbl

2. S. Eilenberg, Automata, Languages and Machines, vol. A, Academic Press, New York, 1974. | MR | Zbl

3. K. Hashiguchi, A Decision Procedure for the Order of Regular Events, Theoret. Comput. Sci., 1979, 8, pp. 69-72. | MR | Zbl

4. K. Hashiguchi, Limitedness Theorem on Finite Automata with Distance Functions, J. Comput. System Sci., 1982, 24, 2, pp. 233-244. | MR | Zbl

5. K. Hashiguchi, Improved Limitedness Theorem on Finite Automata with Distance Functions, Theoret. Comput. Sci., 1990, 72, pp. 27-38. | MR | Zbl

6. K. Hashiguchi, Algorithms for Determining Relative Star Height and Star Height, Inform. and Comput., 1988, 78, pp. 124-169. | MR | Zbl

7. N. Kobayashi, Propriedades de M-subconjuntos Reconhecíveis de um Monóide Livre, Tese de Doutorado, Departamento de Ciência da Computação, Instituto de Matemática e Estatística da Universidade de São Paulo, 1991.

8. N. Kobayashi, Properties of Recognizable M-subsets of a Free Monoid, Lecture Notes in Comput. Sci., 583, I. Simon (Ed.), Springer-Verlag, Proceedings of LATIN'92, 1st Latin American Symposium on Theoretical INformatics, São Paulo, Brazil, 1992, pp. 314-328. | MR

9. N. Kobayashi, The Closure Under Division and a Characterization of the Recognizable Z-subsets, Technical Report RT-MAC-9415, IME-USP, São Paulo, 1994.

10. D. Krob The Equality Problem for Rational Series with Multiplicities in the Tropical Semiring is Undecidable, Internat. J. Algebra and Comput., 1994, 4, 3, pp. 405-425. | MR | Zbl

11. D. Krob, Some Consequences of a Fatou Property of the Tropical Semiring, J. Pure Appl. Algebra, 1994, 93, 3, pp. 231-249. | MR | Zbl

12. H. Leung, Limitedness Teorem on Finite Automata with Distance Functions: an Algebraic Proof, Theoret. Comput. Sci., 1991, 81, pp. 137-145. | MR | Zbl

13. I. Simon, Limited Subsets of a Free Monoid, in Proc. 19th. Annual Symposium on Foundations of Computer Science, Institute of Electrical and Electronics Engineers, Piscataway, N.J., 1978, pp. 143-150. | MR

14. I. Simon, The Nondeterministic Complexity of a Finite Automaton, in M. Lothaire(ed.), Mots - mélanges offerts à M. P. Schützenberger, pp. 384-400, Hermès, Paris, 1990. | MR

15. I. Simon, Factorization Forests of Finite Height, Theoret. Comput. Sci., 1990, 72, pp. 65-94. | MR | Zbl

16. I. Simon, Recognizable Sets with Multiplicities in the Tropical Semiring, Lecture Notes in Comput. Sci., 1988, 324, Springer-Verlag, pp. 107-120. | MR | Zbl

17. I. Simon, On Semigroups of Matrices over the Tropical Semiring, RAIRO Inform. Théor. Appl., 1994, 28, pp. 277-294. | EuDML | Numdam | MR | Zbl