no. 3
From bi-ideals to periodicity
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 42 (2008) no. 3, pp. 467-475

The necessary and sufficient conditions are extracted for periodicity of bi-ideals. They cover infinitely and finitely generated bi-ideals.

DOI : 10.1051/ita:2008010
Classification : 68R15, 94A55, 68Q15
Keywords: periodic words, bi-ideals, the sequence generates the bi-ideal, finitely generated bi-ideals 
@article{ITA_2008__42_3_467_0,
     author = {Buls, J\={a}nis and Lorencs, Aivars},
     title = {From bi-ideals to periodicity},
     journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
     pages = {467--475},
     year = {2008},
     publisher = {EDP Sciences},
     volume = {42},
     number = {3},
     doi = {10.1051/ita:2008010},
     mrnumber = {2434029},
     zbl = {1149.68410},
     language = {en},
     url = {https://www.numdam.org/articles/10.1051/ita:2008010/}
}
TY  - JOUR
AU  - Buls, Jānis
AU  - Lorencs, Aivars
TI  - From bi-ideals to periodicity
JO  - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
PY  - 2008
SP  - 467
EP  - 475
VL  - 42
IS  - 3
PB  - EDP Sciences
UR  - https://www.numdam.org/articles/10.1051/ita:2008010/
DO  - 10.1051/ita:2008010
LA  - en
ID  - ITA_2008__42_3_467_0
ER  - 
%0 Journal Article
%A Buls, Jānis
%A Lorencs, Aivars
%T From bi-ideals to periodicity
%J RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
%D 2008
%P 467-475
%V 42
%N 3
%I EDP Sciences
%U https://www.numdam.org/articles/10.1051/ita:2008010/
%R 10.1051/ita:2008010
%G en
%F ITA_2008__42_3_467_0
Buls, Jānis; Lorencs, Aivars. From bi-ideals to periodicity. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 42 (2008) no. 3, pp. 467-475. doi: 10.1051/ita:2008010

[1] D.B. Bean, A.E. Ehrenfeucht and G. Mcnulty. Avoidable patterns in strings of symbols. Pacific J. Math. 85 (1979) 261-294. | Zbl | MR

[2] J. Berstel, J. Karhumäki. Combinatorics on Words - A Tutorial. TUCS Technical Report (No. 530, June) (2003). | MR

[3] M. Coudrain and M.P. Schützenberger. Une condition de finitude des monoïdes finiment engendrés. C.R. Acad. Sci. Paris, Sér. A 262 (1966) 1149-1151. | Zbl | MR

[4] M. Crochemore and W. Rytter. Squares, cubes, and time-space efficient string searchinng. Algorithmica 13 (1995) 405-425. | Zbl | MR

[5] N.J. Fine, H.S. Wilf. (1965) Uniqueness theorem for periodic functions. Proc. Amer. Math. Soc. 16 (1965) 109-114. | Zbl | MR

[6] D. Gusfield. Algorithms on Strings, Trees, and Sequences. Cambridge University Press (1997). | Zbl | MR

[7] N. Jacobson. Structure of Rings. American Mathematical Society, Providence, RI (1964). | Zbl | MR

[8] M. Lothaire. Combinatorics on Words. Encyclopedia of Mathematics and its Applications, Vol. 17. Addison-Wesley, Reading, Massachusetts (1983). | Zbl | MR

[9] M. Lothaire. Algebraic Combinatorics on Words. Encyclopedia of Mathematics and its Applications, Vol. 90. Cambridge University Press, Cambridge (2002). | Zbl | MR

[10] Aldo De Luca, Stefano Varricchio. Finiteness and Regularity in Semigroups and Formal Languages. Springer-Verlag, Berlin, Heidelberg (1999). | Zbl | MR

[11] R.A. Rueppel. Analysis and Design of Stream Ciphers. Springer-Verlag, Berlin (1986). | Zbl | MR

[12] I. Simon. Infinite words and a theorem of Hindman. Rev. Math. Appl. 9 (1988) 97-104. | Zbl | MR

[13] J.A. Storer. Data compression: methods and theory. Computer Science Press, Rockville, MD (1988).

[14] A.I. Zimin. Blocking sets of terms. Matem. sb., 119, 363-375 (Russian) (1982). | Zbl | MR

Cité par Sources :