From Bi-ideals to Periodicity
RAIRO - Theoretical Informatics and Applications (2008)
- Volume: 42, Issue: 3, page 467-475
- ISSN: 0988-3754
Access Full Article
topAbstract
topHow to cite
topBuls, Jānis, and Lorencs, Aivars. "From Bi-ideals to Periodicity." RAIRO - Theoretical Informatics and Applications 42.3 (2008): 467-475. <http://eudml.org/doc/250333>.
@article{Buls2008,
abstract = {
The necessary and sufficient conditions are extracted for periodicity of bi-ideals. They cover infinitely and finitely generated bi-ideals.
},
author = {Buls, Jānis, Lorencs, Aivars},
journal = {RAIRO - Theoretical Informatics and Applications},
keywords = {Periodic words; bi-ideals; the sequence generates the bi-ideal; finitely generated bi-ideals},
language = {eng},
month = {6},
number = {3},
pages = {467-475},
publisher = {EDP Sciences},
title = {From Bi-ideals to Periodicity},
url = {http://eudml.org/doc/250333},
volume = {42},
year = {2008},
}
TY - JOUR
AU - Buls, Jānis
AU - Lorencs, Aivars
TI - From Bi-ideals to Periodicity
JO - RAIRO - Theoretical Informatics and Applications
DA - 2008/6//
PB - EDP Sciences
VL - 42
IS - 3
SP - 467
EP - 475
AB -
The necessary and sufficient conditions are extracted for periodicity of bi-ideals. They cover infinitely and finitely generated bi-ideals.
LA - eng
KW - Periodic words; bi-ideals; the sequence generates the bi-ideal; finitely generated bi-ideals
UR - http://eudml.org/doc/250333
ER -
References
top- D.B. Bean, A.E. Ehrenfeucht and G. McNulty. Avoidable patterns in strings of symbols. Pacific J. Math.85 (1979) 261–294.
- J. Berstel, J. Karhumäki. Combinatorics on Words — A Tutorial. TUCS Technical Report (No. 530, June) (2003).
- 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.
- M. Crochemore and W. Rytter. Squares, cubes, and time-space efficient string searchinng. Algorithmica13 (1995) 405–425.
- N.J. Fine, H.S. Wilf. (1965) Uniqueness theorem for periodic functions. Proc. Amer. Math. Soc.16 (1965) 109–114.
- D. Gusfield. Algorithms on Strings, Trees, and Sequences. Cambridge University Press (1997).
- N. Jacobson. Structure of Rings. American Mathematical Society, Providence, RI (1964).
- M. Lothaire. Combinatorics on Words. Encyclopedia of Mathematics and its Applications, Vol. 17. Addison-Wesley, Reading, Massachusetts (1983).
- M. Lothaire. Algebraic Combinatorics on Words. Encyclopedia of Mathematics and its Applications, Vol. 90. Cambridge University Press, Cambridge (2002).
- Aldo de Luca, Stefano Varricchio. Finiteness and Regularity in Semigroups and Formal Languages. Springer-Verlag, Berlin, Heidelberg (1999).
- R.A. Rueppel. Analysis and Design of Stream Ciphers. Springer-Verlag, Berlin (1986).
- I. Simon. Infinite words and a theorem of Hindman. Rev. Math. Appl.9 (1988) 97–104.
- J.A. Storer. Data compression: methods and theory. Computer Science Press, Rockville, MD (1988).
- A.I. Zimin. Blocking sets of terms. Matem. sb., 119, 363–375 (Russian) (1982).
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.