RAIRO-Theor. Inf. Appl. 42, 467-475 (2008)
DOI: 10.1051/ita:2008010

From Bi-ideals to Periodicity

Janis Buls¹ and Aivars Lorencs<sup>2

1</sup>  Department of Mathematics, University of Latvia, Raina bulvaris 19, Riga, 1586, Latvia; buls@fmf.lu.lv; web site:
²  Institute of Electronics and Computer Science, Dzerbenes street 14, Riga, 1006, Latvia; lorencs@edi.lv

Published online: 3 June 2008

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

Mathematics Subject Classification. 68R15, 94A55, 68Q15

Key words: Periodic words -- bi-ideals -- the sequence generates the bi-ideal -- finitely generated bi-ideals


© EDP Sciences 2008